{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "P299-302函数项级数的一致收敛性及-致收敛级数的基本性质"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "一、函数项级数的一致收敛性"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们知道,有限个连续函数的和仍然是连续函数,有限个函数的和的导数及积分也分别等于它们的导数及积分的和.但是对于无穷多个函数的和是否也具有这些性质呢?换句话说,无穷多个连续函数的和s(x)是否仍然是连续函数无穷多个函数的导数及积分的和是否仍然分别等于它们的和函数的导数及积分呢?我们曾经指出,对于幂级数来说,回答是肯定的.但是,对于一般的函数项级数是否都是如此呢?下面来看一个例子."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. 函数项级数的定义"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "def u_n(x, n):\n",
    "    return x ** n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. 部分和"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "def s_n(x, n):\n",
    "    result = 0\n",
    "    for k in range(1, n + 1):\n",
    "        result += u_n(x, k)\n",
    "    return result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3. 收敛性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n = 1, s_n(0.5) = 0.5\n",
      "n = 2, s_n(0.5) = 0.75\n",
      "n = 3, s_n(0.5) = 0.875\n",
      "n = 4, s_n(0.5) = 0.9375\n",
      "n = 5, s_n(0.5) = 0.96875\n",
      "n = 6, s_n(0.5) = 0.984375\n",
      "n = 7, s_n(0.5) = 0.9921875\n",
      "n = 8, s_n(0.5) = 0.99609375\n",
      "n = 9, s_n(0.5) = 0.998046875\n"
     ]
    }
   ],
   "source": [
    "x_value = 0.5\n",
    "for n in range(1, 10):\n",
    "    partial_sum = s_n(x_value, n)\n",
    "    print(f\"n = {n}, s_n({x_value}) = {partial_sum}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. 一致收敛性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x = 0.0, n = 1, s_n(0.0) = 0.0\n",
      "x = 0.0, n = 2, s_n(0.0) = 0.0\n",
      "x = 0.0, n = 3, s_n(0.0) = 0.0\n",
      "x = 0.0, n = 4, s_n(0.0) = 0.0\n",
      "x = 0.0, n = 5, s_n(0.0) = 0.0\n",
      "x = 0.0, n = 6, s_n(0.0) = 0.0\n",
      "x = 0.0, n = 7, s_n(0.0) = 0.0\n",
      "x = 0.0, n = 8, s_n(0.0) = 0.0\n",
      "x = 0.0, n = 9, s_n(0.0) = 0.0\n",
      "x = 0.1111111111111111, n = 1, s_n(0.1111111111111111) = 0.1111111111111111\n",
      "x = 0.1111111111111111, n = 2, s_n(0.1111111111111111) = 0.12345679012345678\n",
      "x = 0.1111111111111111, n = 3, s_n(0.1111111111111111) = 0.12482853223593963\n",
      "x = 0.1111111111111111, n = 4, s_n(0.1111111111111111) = 0.12498094802621551\n",
      "x = 0.1111111111111111, n = 5, s_n(0.1111111111111111) = 0.12499788311402395\n",
      "x = 0.1111111111111111, n = 6, s_n(0.1111111111111111) = 0.12499976479044711\n",
      "x = 0.1111111111111111, n = 7, s_n(0.1111111111111111) = 0.12499997386560524\n",
      "x = 0.1111111111111111, n = 8, s_n(0.1111111111111111) = 0.12499999709617837\n",
      "x = 0.1111111111111111, n = 9, s_n(0.1111111111111111) = 0.12499999967735316\n",
      "x = 0.2222222222222222, n = 1, s_n(0.2222222222222222) = 0.2222222222222222\n",
      "x = 0.2222222222222222, n = 2, s_n(0.2222222222222222) = 0.2716049382716049\n",
      "x = 0.2222222222222222, n = 3, s_n(0.2222222222222222) = 0.28257887517146774\n",
      "x = 0.2222222222222222, n = 4, s_n(0.2222222222222222) = 0.2850175278158817\n",
      "x = 0.2222222222222222, n = 5, s_n(0.2222222222222222) = 0.28555945062575144\n",
      "x = 0.2222222222222222, n = 6, s_n(0.2222222222222222) = 0.28567987791683364\n",
      "x = 0.2222222222222222, n = 7, s_n(0.2222222222222222) = 0.2857066395370741\n",
      "x = 0.2222222222222222, n = 8, s_n(0.2222222222222222) = 0.2857125865637942\n",
      "x = 0.2222222222222222, n = 9, s_n(0.2222222222222222) = 0.2857139081252876\n",
      "x = 0.3333333333333333, n = 1, s_n(0.3333333333333333) = 0.3333333333333333\n",
      "x = 0.3333333333333333, n = 2, s_n(0.3333333333333333) = 0.4444444444444444\n",
      "x = 0.3333333333333333, n = 3, s_n(0.3333333333333333) = 0.48148148148148145\n",
      "x = 0.3333333333333333, n = 4, s_n(0.3333333333333333) = 0.49382716049382713\n",
      "x = 0.3333333333333333, n = 5, s_n(0.3333333333333333) = 0.4979423868312757\n",
      "x = 0.3333333333333333, n = 6, s_n(0.3333333333333333) = 0.49931412894375854\n",
      "x = 0.3333333333333333, n = 7, s_n(0.3333333333333333) = 0.4997713763145862\n",
      "x = 0.3333333333333333, n = 8, s_n(0.3333333333333333) = 0.49992379210486204\n",
      "x = 0.3333333333333333, n = 9, s_n(0.3333333333333333) = 0.4999745973682873\n",
      "x = 0.4444444444444444, n = 1, s_n(0.4444444444444444) = 0.4444444444444444\n",
      "x = 0.4444444444444444, n = 2, s_n(0.4444444444444444) = 0.6419753086419753\n",
      "x = 0.4444444444444444, n = 3, s_n(0.4444444444444444) = 0.7297668038408779\n",
      "x = 0.4444444444444444, n = 4, s_n(0.4444444444444444) = 0.7687852461515012\n",
      "x = 0.4444444444444444, n = 5, s_n(0.4444444444444444) = 0.7861267760673338\n",
      "x = 0.4444444444444444, n = 6, s_n(0.4444444444444444) = 0.7938341226965928\n",
      "x = 0.4444444444444444, n = 7, s_n(0.4444444444444444) = 0.7972596100873746\n",
      "x = 0.4444444444444444, n = 8, s_n(0.4444444444444444) = 0.798782048927722\n",
      "x = 0.4444444444444444, n = 9, s_n(0.4444444444444444) = 0.7994586884123208\n",
      "x = 0.5555555555555556, n = 1, s_n(0.5555555555555556) = 0.5555555555555556\n",
      "x = 0.5555555555555556, n = 2, s_n(0.5555555555555556) = 0.8641975308641976\n",
      "x = 0.5555555555555556, n = 3, s_n(0.5555555555555556) = 1.0356652949245544\n",
      "x = 0.5555555555555556, n = 4, s_n(0.5555555555555556) = 1.1309251638469748\n",
      "x = 0.5555555555555556, n = 5, s_n(0.5555555555555556) = 1.1838473132483196\n",
      "x = 0.5555555555555556, n = 6, s_n(0.5555555555555556) = 1.2132485073601778\n",
      "x = 0.5555555555555556, n = 7, s_n(0.5555555555555556) = 1.2295825040889878\n",
      "x = 0.5555555555555556, n = 8, s_n(0.5555555555555556) = 1.2386569467161046\n",
      "x = 0.5555555555555556, n = 9, s_n(0.5555555555555556) = 1.2436983037311695\n",
      "x = 0.6666666666666666, n = 1, s_n(0.6666666666666666) = 0.6666666666666666\n",
      "x = 0.6666666666666666, n = 2, s_n(0.6666666666666666) = 1.1111111111111112\n",
      "x = 0.6666666666666666, n = 3, s_n(0.6666666666666666) = 1.4074074074074074\n",
      "x = 0.6666666666666666, n = 4, s_n(0.6666666666666666) = 1.6049382716049383\n",
      "x = 0.6666666666666666, n = 5, s_n(0.6666666666666666) = 1.736625514403292\n",
      "x = 0.6666666666666666, n = 6, s_n(0.6666666666666666) = 1.8244170096021946\n",
      "x = 0.6666666666666666, n = 7, s_n(0.6666666666666666) = 1.8829446730681296\n",
      "x = 0.6666666666666666, n = 8, s_n(0.6666666666666666) = 1.921963115378753\n",
      "x = 0.6666666666666666, n = 9, s_n(0.6666666666666666) = 1.947975410252502\n",
      "x = 0.7777777777777777, n = 1, s_n(0.7777777777777777) = 0.7777777777777777\n",
      "x = 0.7777777777777777, n = 2, s_n(0.7777777777777777) = 1.3827160493827158\n",
      "x = 0.7777777777777777, n = 3, s_n(0.7777777777777777) = 1.8532235939643342\n",
      "x = 0.7777777777777777, n = 4, s_n(0.7777777777777777) = 2.219173906416704\n",
      "x = 0.7777777777777777, n = 5, s_n(0.7777777777777777) = 2.5038019272129914\n",
      "x = 0.7777777777777777, n = 6, s_n(0.7777777777777777) = 2.725179276721215\n",
      "x = 0.7777777777777777, n = 7, s_n(0.7777777777777777) = 2.8973616596720557\n",
      "x = 0.7777777777777777, n = 8, s_n(0.7777777777777777) = 3.0312812908560427\n",
      "x = 0.7777777777777777, n = 9, s_n(0.7777777777777777) = 3.135441003999144\n",
      "x = 0.8888888888888888, n = 1, s_n(0.8888888888888888) = 0.8888888888888888\n",
      "x = 0.8888888888888888, n = 2, s_n(0.8888888888888888) = 1.6790123456790123\n",
      "x = 0.8888888888888888, n = 3, s_n(0.8888888888888888) = 2.3813443072702327\n",
      "x = 0.8888888888888888, n = 4, s_n(0.8888888888888888) = 3.0056393842402067\n",
      "x = 0.8888888888888888, n = 5, s_n(0.8888888888888888) = 3.5605683415468503\n",
      "x = 0.8888888888888888, n = 6, s_n(0.8888888888888888) = 4.0538385258194225\n",
      "x = 0.8888888888888888, n = 7, s_n(0.8888888888888888) = 4.492300911839487\n",
      "x = 0.8888888888888888, n = 8, s_n(0.8888888888888888) = 4.882045254968433\n",
      "x = 0.8888888888888888, n = 9, s_n(0.8888888888888888) = 5.228484671083051\n",
      "x = 1.0, n = 1, s_n(1.0) = 1.0\n",
      "x = 1.0, n = 2, s_n(1.0) = 2.0\n",
      "x = 1.0, n = 3, s_n(1.0) = 3.0\n",
      "x = 1.0, n = 4, s_n(1.0) = 4.0\n",
      "x = 1.0, n = 5, s_n(1.0) = 5.0\n",
      "x = 1.0, n = 6, s_n(1.0) = 6.0\n",
      "x = 1.0, n = 7, s_n(1.0) = 7.0\n",
      "x = 1.0, n = 8, s_n(1.0) = 8.0\n",
      "x = 1.0, n = 9, s_n(1.0) = 9.0\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "x_values = np.linspace(0, 1, 10)  # 取区间[0, 1]上的10个点\n",
    "for x in x_values:\n",
    "    for n in range(1, 10):\n",
    "        partial_sum = s_n(x, n)\n",
    "        print(f\"x = {x}, n = {n}, s_n({x}) = {partial_sum}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "一致收敛定义"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "\n",
    "def u_n(x, n):\n",
    "    return x ** n / n\n",
    "\n",
    "\n",
    "def s_n(x, n):\n",
    "    result = 0\n",
    "    for k in range(1, n + 1):\n",
    "        result += u_n(x, k)\n",
    "    return result\n",
    "\n",
    "\n",
    "def r_n(x, n):\n",
    "    return s(x, 1000) - s_n(x, n)  # 这里假设s(x)用n=1000近似\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "一致收敛性图像"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uvPBC/vGPfxAYGEhiYiL//e9/GThwIEOGDKnUGu644w5mz57NLbfcwvr162nYsCELFy5k1apVTJ8+vUINhCvLtGnT2L17N/feey+ffvopV1xxBRERESQlJfHxxx+zfft2RowYAcBzzz3HkiVL6N27N3fffTfe3t7Mnj0bm83GCy+88LdruOyyywgJCeHBBx/EarVy1VVXua1v3Lgxzz33HI8++ih79+5l6NChhISEsGfPHhYtWsQdd9zBgw8+eMr3GDp0KF27dmX8+PHs2rWLFi1a8MUXX5CZmQm4nzV47bXX6N27N23btuX222+nUaNGpKamsnr1ag4cOMCmTZvO6PhCQ0N55ZVXuO222+jSpQs33HADERERbNq0icLCQt599128vLx4++23GTx4MK1bt2b06NHUrVuXgwcPsmzZMkJDQ/nf//53Ru9bEWFhYVxzzTXMmDEDi8VC48aN+fLLL0lLS3Pb7o8//qB///5ce+21tGrVCm9vbxYtWkRqaqrr5wOcoW3WrFk899xzNGnShOjoaC6++OJT1nDFFVfw/vvvExYWRqtWrVi9ejXff/89UVFRbtt16NABq9XK1KlTycnJwc/Pj4svvpjo6Ohy+6zKv3NSBZlwB5hIpfjggw+M7t27G0FBQYafn5/RokUL4+mnn3a7vdgwjt2K+/HHH7st/+utuIZR8VvPDcMwUlNTjdGjRxu1atUyfH19jbZt27rt6/j3ONHtvSe7hX7UqFFGUFBQue379u1rtG7d+kQfRTllZWXG22+/bfTp08cICwszfHx8jAYNGhijR48ud1v6r7/+agwaNMgIDg42AgMDjYsuushITEx02+bobcZr1651W36y25wNwzBGjhzpuo37ZD755BOjd+/eRlBQkBEUFGS0aNHCGDNmjLFjx44KHXd6erpxww03GCEhIUZYWJhxyy23GKtWrTIAY/78+W7b7t6927j55puN2NhYw8fHx6hbt65xxRVXGAsXLvzbx/nFF18YPXv2NAICAozQ0FCja9euxn//+1+3bTZs2GAMHz7ciIqKMvz8/IwGDRoY1157rbF06dKTfi6G8fdvPT/6uVx11VVGYGCgERERYdx5553Gli1b3H7eDx8+bIwZM8Zo0aKFERQUZISFhRndunUzFixY4LavlJQU4/LLLzdCQkIMwHU7+Mk+K8Nw3tZ+9HcjODjYGDRokLF9+3ajQYMG5bpPeOutt4xGjRoZVqvV7dj+euu5YZz97xxgTJo0qdxy8TwWw1DrLBHxXJ999hnDhg3jp59+olevXmaXIyImUNgREY9RVFTkdjeQ3W5n4MCBrFu3jpSUlLO6i0tEqi+12RERj3HPPfdQVFREjx49sNlsfPrppyQmJjJ58mQFHZEaTGd2RMRjfPjhh0ybNo1du3ZRXFxMkyZNuOuuuxg7dqzZpYmIiRR2RERExKOpnx0RERHxaAo7IiIi4tHUQBlnL6uHDh0iJCTkb3WFLiIiIuefYRjk5eURFxdXblDY4ynsAIcOHfpbY/6IiIiI+fbv3098fPxJ1yvsgKtb8f379//tsX9ERETk/MrNzaVevXqnHR5EYYdjY+aEhoYq7IiIiFQzp2uCogbKIiIi4tEUdkRERMSjKeyIiIiIR1ObnQpyOByUlJSYXYZUMT4+PlitVrPLEBGRU1DYqYCSkhL27NmDw+EwuxSpgsLDw4mNjVUfTSIiVZTCzmkYhkFycjJWq5V69eqdstMiqVkMw6CwsJC0tDQA6tSpY3JFIiJyIgo7p1FWVkZhYSFxcXEEBgaaXY5UMQEBAQCkpaURHR2tS1oiIlWQTlOcht1uB8DX19fkSqSqOhqCS0tLTa5ERERORGGngtQeQ05GPxsiIlWbwo6IiIh4NIWdGqqkpIQmTZqQmJhY4dd0796dTz75pBKrEhEROfcUdmqoN954g4SEBHr27Fnh1zzxxBNMmDBBt+CLiEi1orBTAxmGwcyZM7n11lvP6HWDBw8mLy+Pb775ppIqExERj5O6FbL2mVqCwo4HW7hwIW3btiUgIICoqCgGDBhAQUEB69evZ/fu3Vx++eWubd977z2Cg4PZuXOna9ndd99NixYtKCwsBMBqtXLZZZcxf/78834sIiJSDZUWwcejYVZP+PNH08pQPztnyDAMikrtprx3gI+1wnf+JCcnc/311/PCCy8wbNgw8vLyWLlyJYZhsHLlSpo1a0ZISIhr+5tvvpkvv/ySkSNHkpiYyLfffsvbb7/N6tWr3foX6tq1K88///w5PzYREfFAPzwHh3dAcAzEtjOtDIWdM1RUaqfVxG9Nee9tzwwi0Ldi/2TJycmUlZUxfPhwGjRoAEDbtm0B2LdvH3FxceVeM3v2bNq1a8e9997Lp59+ylNPPUWnTp3ctomLi2P//v04HA71Ji0iIie3bzWsfs05PeRVCIw0rRR9W3mo9u3b079/f9q2bcs111zDW2+9RVZWFgBFRUX4+/uXe01ERATvvPMOs2bNonHjxkyYMKHcNgEBATgcDmw2W6Ufg4iIVFMlBfDZXYABHW6E5peaWo7O7JyhAB8r254ZZNp7V5TVamXJkiUkJiby3XffMWPGDB5//HHWrFlDrVq12Lx58wlft2LFCqxWK8nJyRQUFLhd6gLIzMwkKCjINUyCiIhIOUsmQdYeCI2HSyebXY3O7Jwpi8VCoK+3KY8z7anXYrHQq1cvnn76aTZs2ICvry+LFi2iY8eObN++HcMw3LZPTExk6tSp/O9//yM4OJixY8eW2+eWLVvo2LHjWX2GIiLiwf78Eda+5Zy+cib4h5laDujMjsdas2YNS5cuZeDAgURHR7NmzRrS09Np2bIlXbt2JT8/n61bt9KmTRsA8vLyuOmmm7j33nsZPHgw8fHxdOnShSFDhnD11Ve79rty5UoGDhxo1mGJiEhVVpwLnx/5Q7nzrdD4InPrOUJndjxUaGgoK1as4LLLLqNZs2Y88cQTTJs2jcGDBxMVFcWwYcOYN2+ea/v77ruPoKAgJk92nm5s27YtkydP5s477+TgwYMAHDx4kMTEREaPHm3KMYmISBX37aOQsx8iGsIlz5hdjYvF+Ou1jBooNzeXsLAwcnJyCA0NdVtXXFzMnj17SEhIOGGj3urqt99+45JLLmH37t0EBwdX6DWPPPIIWVlZvPnmm5VcXfXiqT8jIiJnZMc38N8RgAVGfw0NKt5D/991qu/v4+nMTg3Vrl07pk6dyp49eyr8mujoaJ599tlKrEpERKqlggz44l7ndM+x5yXonAm12anBbrnlljPafvz48ZVTiIiIVF+GAV89AAVpULslXPSE2RWVozM7IiIi8vdtXgjbPgcvbxj2BvhUvcv5CjsiIiLy9+Qegq+PnPW/8GGI62BqOSejsCMiIiJnzjDgi3ugOAfiOkKfcWZXdFIKOyIiInLm1r0Du74Hb38YNhusPmZXdFIKOyIiInJmMnbDd086pwc8BbWbm1rO6SjsiIiISMXZy+DTO6C0EBL6Qtc7za7otBR2REREpOJ+egUOrgO/MBj6OnhV/ShR9SuUKmnHjh3ExsaSl5dXoe0PHz5MdHQ0Bw4cqOTKRESk0hzaAMufd05f9iKExZtbTwUp7Mjf8uijj3LPPfcQEhJSoe1r1arFzTffzKRJkyq5MhERqRSlRfDpneAog1ZXQrtrza6owhR25IwlJSXx5ZdfnnEPzKNHj2bevHlkZmZWTmEiIlJ5lj4Dh3dAcAxcMR0sFrMrqjCFHQ+2cOFC2rZtS0BAAFFRUQwYMICCgoJTvuaWW25h6NChvPTSS9SpU4eoqCjGjBlDaWmpa5sFCxbQvn176tat61r2z3/+k3bt2mGz2QAoKSmhY8eO3Hzzza5tWrduTVxcHIsWLTrHRyoiIpVq9zL4+XXn9D9mQmCkufWcIYWdM2UYUFJgzuMMBqhPTk7m+uuv55///Ce///47P/74I8OHD6cig9wvW7aM3bt3s2zZMt59913mzp3L3LlzXetXrlxJ586d3V7z6quvUlBQwIQJEwB4/PHHyc7OZubMmW7bde3alZUrV1b4OERExGSFmfDZ3c7pzrdCs4Hm1vM3aCDQM1VaCJPjzHnvxw6Bb1CFNk1OTqasrIzhw4fToEEDANq2bVuh10ZERDBz5kysVistWrTg8ssvZ+nSpdx+++0A7Nu3r1zYCQ4O5oMPPqBv376EhIQwffp0li1bRmhoqNt2cXFxbNiwoUJ1iIiIyQwDvhoPeYcgsjEMfNbsiv4WndnxUO3bt6d///60bduWa665hrfeeousrKwKvbZ169ZYrVbXfJ06dUhLS3PNFxUV4e9ffqC3Hj168OCDD/Lss88yfvx4evfuXW6bgIAACgsL/8YRiYjIebf5Y9j6KVisMPytCv/BXdXozM6Z8gl0nmEx670ryGq1smTJEhITE/nuu++YMWMGjz/+OGvWrCEhIeHUb+Pj3uW3xWLB4XC45mvVqnXC4ORwOFi1ahVWq5Vdu3adcN+ZmZnUrl27wschIiImyd4PXz3onO77CMR3Mrees6AzO2fKYnEmWzMeZ9jy3WKx0KtXL55++mk2bNiAr6/vOWkc3LFjR7Zt21Zu+Ysvvsj27dtZvnw5ixcvZs6cOeW22bJlCx07djzrGkREpBI5HPDZXWDLgbqdoc94sys6Kwo7HmrNmjVMnjyZdevWkZSUxKeffkp6ejotW7Y8630PGjSI1atXY7fbXcs2bNjAxIkTefvtt+nVqxcvv/wy9913H3/++adrm8LCQtavX8/AgdWvcZuISI2yegbsXem8ojD8TbBW7wtBCjseKjQ0lBUrVnDZZZfRrFkznnjiCaZNm8bgwYPPet+DBw/G29ub77//HoDi4mJuvPFGbrnlFoYMGQLAHXfcwUUXXcRNN93kCkWff/459evXp0+fPmddg4iIVJLkTbD0SEPkS6dAVGNz6zkHLEZF7kX2cLm5uYSFhZGTk1Pu7qHi4mL27NlDQkLCCRvl1lSvvfYaX3zxBd9++22FX9O9e3fuvfdebrjhhkqs7PzTz4iIeIzSIpjd19l5YPPLYcS8Kt154Km+v49Xvc9LiWnuvPNOsrOzycvLq9CQEYcPH2b48OFcf/3156E6ERH5W5ZMPNZL8j9mVOmgcyYUdmqY4ODgk6775ptvKnyJydvbm8cff7zC71urVi0efvjhCm8vIiLn2c4l8Mubzumhr0NQlLn1nEMKOzXMxo0bT7ru+OEfRESkBslPP9ZLctc7ockAc+s5xxR2apgmTZqYXYKIiFQlhgFf3AMFaVC7JVzytNkVnXOm3o21YsUKhgwZQlxcHBaLhc8++8xtvWEYTJw4kTp16hAQEMCAAQPYuXOn2zaZmZmMHDmS0NBQwsPDufXWW8nPzz+PRyEiIlKNrfsP/PENWH3hqrfAJ8Dsis45U8NOQUEB7du357XXXjvh+hdeeIFXX32VN954gzVr1hAUFMSgQYMoLi52bTNy5Ei2bt3KkiVL+PLLL1mxYgV33HHH+ToEERGR6it9B3x7pP3lgKcgtmJjKFY3pl7GGjx48En7fTEMg+nTp/PEE09w5ZVXAvDee+8RExPDZ599xogRI/j9999ZvHgxa9eudQ1MOWPGDC677DJeeukl4uJMGrBTRESkqiuzwcJboawIGl8M3e4yu6JKU2U7FdyzZw8pKSkMGHCskVRYWBjdunVj9erVAKxevZrw8HC3EbgHDBiAl5cXa9asOem+bTYbubm5bg8REZEaZekzkLoZAqNg6CzwqrKR4KxV2SNLSUkBICYmxm15TEyMa11KSgrR0dFu6729vYmMjHRtcyJTpkwhLCzM9ahXr945rl5ERKQK2/0DrJ7pnP7HTAiJNbeeSlZlw05levTRR8nJyXE99u/fb3ZJ511JSQlNmjQhMTGxwq/p3r07n3zySSVWdfbmzp1LeHi4a/6pp56iQ4cOptUjIlLlFGTAoiOXrDrfCi0uM7ee86DKhp3YWGfKTE1NdVuemprqWhcbG0taWprb+rKyMjIzM13bnIifnx+hoaFuj5rmjTfeICEhgZ49e1b4NU888QQTJkzA4XBUYmVn57rrruOPP/4wuwwRkarJMODzMZCfArWaw8DnzK7ovKiyYSchIYHY2FiWLl3qWpabm8uaNWvo0aMHAD169CA7O5v169e7tvnhhx9wOBx069btvNdcXRiGwcyZM7n11lvP6HWDBw8mLy+Pb7755qTbPPXUU9xyyy1nWeHfFxAQUO7SpoiIHLH27WO3mV/9DvgGml3ReWFq2MnPz2fjxo2uXn337NnDxo0bSUpKwmKxcP/99/Pcc8/xxRdfsHnzZm6++Wbi4uIYOnQoAC1btuTSSy/l9ttv55dffmHVqlWMHTuWESNG6E4sYOHChbRt25aAgACioqIYMGAABQUFrF+/nt27d3P55Ze7tn3vvfcIDg5268fo7rvvpkWLFhQWFgJgtVq57LLLmD9//t+uyWaz8eCDD1K3bl2CgoLo1q0bP/74o2v90ctQn332GU2bNsXf359Bgwa5XWrctGkTF110ESEhIYSGhtKpUyfWrVvn9vqTcTgcPPPMM8THx+Pn50eHDh1YvHixa/3evXuxWCx8+umnXHTRRQQGBtK+fXtXo3gRkWorddux28wvecZjbzM/EVNvPV+3bh0XXXSRa37cuHEAjBo1irlz5/Lwww9TUFDAHXfcQXZ2Nr1792bx4sVuI0vPmzePsWPH0r9/f7y8vLjqqqt49dVXK61mwzAoKiuqtP2fSoB3AJYKDsqWnJzM9ddfzwsvvMCwYcPIy8tj5cqVGIbBypUradasmdsAnjfffDNffvklI0eOJDExkW+//Za3336b1atXExh4LPl37dqV559//m8fw9ixY9m2bRvz588nLi6ORYsWcemll7J582aaNm0KQGFhIf/6179477338PX15e6772bEiBGsWrUKcPat1LFjR2bNmoXVamXjxo34+PhU6P3//e9/M23aNGbPnk3Hjh35z3/+wz/+8Q+2bt3qen+Axx9/nJdeeommTZvy+OOPc/3117Nr1y68vdXpuIhUQ6VFsPCfYLdB04HQ7f/Mrui8MvV/7n79+mEYxknXWywWnnnmGZ555pmTbhMZGcmHH35YGeWdUFFZEd0+NOcS2Zob1hDoU7FTjsnJyZSVlTF8+HAaNGgAQNu2zhS/b9++E575mj17Nu3atePee+/l008/5amnnqJTp05u28TFxbF//34cDgdeZ3ibYlJSEnPmzCEpKcn1/g8++CCLFy9mzpw5TJ48GYDS0lJmzpzpuhT57rvv0rJlS3755Re6du1KUlISDz30EC1atABwCymn89JLL/HII48wYsQIAKZOncqyZcuYPn26W+eWDz74oOvM19NPP03r1q3ZtWuX6z1FRKqV756A9N8hKBqufN1jRjOvqCrbZkfOTvv27enfvz9t27blmmuu4a233iIrKwuAoqIit7NjR0VERPDOO+8wa9YsGjduzIQJE8ptExAQgMPhwGazAbBy5UqCg4Ndj8mTJzNv3jy3ZfPmzQNg8+bN2O12mjVr5rZ++fLl7N692/Ue3t7edOnSxTXfokULwsPD+f333wHnGcDbbruNAQMG8Pzzz7u99lRyc3M5dOgQvXr1clveq1cv176PateunWu6Tp06AOUaw4uIVAvbv3a21QEY9gYE1za3HhPonPwZCvAOYM0NJ++wsLLfu6KsVitLliwhMTGR7777jhkzZvD444+zZs0aatWqxebNm0/4uhUrVmC1WklOTqagoMDtUhc4xyILCgoiIMBZS+fOnd1GUn/11Vc5ePAgU6dOdS072ldSfn4+VquV9evXY7Va3fYbHBxc4WN76qmnuOGGG/jqq6/45ptvmDRpEvPnz2fYsGEV3sfpHH9Z7Oilw6p8F5qIyAnlHnLefQXQYyw06W9uPSZR2DlDFoulwpeSzGaxWOjVqxe9evVi4sSJNGjQgEWLFrnauxiG4dYGKDExkalTp/K///2PRx55hLFjx/Luu++67XPLli107NjRNR8QEOA2knpkZCS5ubknHF29Y8eO2O120tLS6NOnz0nrLisrY926dXTt2hWAHTt2kJ2dTcuWLV3bNGvWjGbNmvHAAw9w/fXXM2fOnNOGndDQUOLi4li1ahV9+/Z1LV+1apXrvUREPIbDDp/cDkWZUKc99J9odkWmUdjxUGvWrGHp0qUMHDiQ6Oho1qxZQ3p6Oi1btqRr167k5+ezdetW2rRpA0BeXh433XQT9957L4MHDyY+Pp4uXbowZMgQrr76atd+V65cycCBA/9WTc2aNWPkyJHcfPPNTJs2jY4dO5Kens7SpUtp166dq42Mj48P99xzD6+++ire3t6MHTuW7t2707VrV4qKinjooYe4+uqrSUhI4MCBA6xdu5arrrqqQjU89NBDTJo0icaNG9OhQwfmzJnDxo0bXZfaREQ8xsqXYd9P4BMEV88Bbz+zKzKNwo6HCg0NZcWKFUyfPp3c3FwaNGjAtGnTXAOvDhs2jHnz5jFlyhQA7rvvPoKCglyNhNu2bcvkyZO588476dGjB3Xr1uXgwYMkJibywQcf/O265syZw3PPPcf48eM5ePAgtWrVonv37lxxxRWubQIDA3nkkUe44YYbOHjwIH369OGdd94BnJfnMjIyuPnmm0lNTaVWrVoMHz6cp59+ukLvf++995KTk8P48eNJS0ujVatWfPHFF2fUyFlEpMpL+hl+dP7/zuXTIKqxufWYzGKc6naoGiI3N5ewsDBycnLK9aZcXFzMnj17SEhIOGGj3urqt99+45JLLmH37t0Vbi/zyCOPkJWVxZtvvllpdc2dO5f777+f7OzsSnuPc81Tf0ZEpJoqyoI3+kDOfmh3HQyvvP+zzXaq7+/j6W6sGqpdu3ZMnTqVPXv2VPg10dHRPPvss5VYlYiInBXDgC/udQadiATnWR3RZaya7EyHdRg/fnzlFCIiIufGuv/A71+Alw9c/R/wCzn9a2oAndmRKuWWW26pVpewRESqjJQtsPhR53T/iVD3AnPrqUIUdkRERKq7kgJYONo5HESTS5x96oiLwo6IiEh19/XDcPgPCKnj7CX5DIfz8XT6NERERKqz3xbAxg/A4gXD34KgWmZXVOUo7IiIiFRXGbvhywec0xc+DAkn752+JlPYERERqY5Ki+HjW6AkHxr0hr4Pm11RlaWwIyIiUh199wSk/AYBkXDVW+BlPf1raiiFnRqqpKSEJk2akJiYWOHXdO/enU8++aQSq6qYvXv3YrFYXKOt//jjj1gsFt2yLiI1x9bPYO1bzunhb0JonKnlVHUKOzXUG2+8QUJCAj179qzwa5544gkmTJiAw+GoxMpOr169eiQnJ7sGMRURqVEy98AX9zine90HTS8xt55qQGGnBjIMg5kzZ3Lrrbee0esGDx5MXl4e33zzTSVVVjFWq5XY2Fi8vdUBuIjUMGU2Z386tlyo1w0uftLsiqoFhR0PtnDhQtq2bUtAQABRUVEMGDCAgoIC1q9fz+7du7n88std27733nsEBwezc+dO17K7776bFi1aUFhYCDhDxmWXXcb8+fNP+95vv/02LVu2xN/fnxYtWvD666+71h29DDV//nx69uyJv78/bdq0Yfny5a5tsrKyGDlyJLVr1yYgIICmTZsyZ84ct9cfvYx1Ip988gmtW7fGz8+Phg0bMm2a+/gwDRs2ZPLkyfzzn/8kJCSE+vXrV+oApyIi58T3T8GhDeAfDle9A1YfsyuqFvSn8RkyDAOjqMiU97YEBGCxWCq0bXJyMtdffz0vvPACw4YNIy8vj5UrV2IYBitXrqRZs2aEhBwbM+Xmm2/myy+/ZOTIkSQmJvLtt9/y9ttvs3r1agIDA13bde3aleeff/6U7z1v3jwmTpzIzJkz6dixIxs2bOD2228nKCiIUaNGubZ76KGHmD59Oq1ateLll19myJAh7Nmzh6ioKJ588km2bdvGN998Q61atdi1axdFFfzc169fz7XXXstTTz3FddddR2JiInfffTdRUVFu44FNmzaNZ599lscee4yFCxdy11130bdvX5o3b16h9xEROa+2fwU/H/nDcdgbEF7P3HqqEYWdM2QUFbHjgk6mvHfzX9djOS54nEpycjJlZWUMHz6cBg0aANC2bVsA9u3bR1xc+cZss2fPpl27dtx77718+umnPPXUU3Tq5H6scXFx7N+/H4fDgddJeuicNGkS06ZNY/jw4QAkJCSwbds2Zs+e7RZ2xo4dy1VXXQXArFmzWLx4Me+88w4PP/wwSUlJdOzYkc6dOwPOMzEV9fLLL9O/f3+efNJ5erdZs2Zs27aNF1980S3sXHbZZdx9990APPLII7zyyissW7ZMYUdEqp6svfDZXc7pHmOh+WBTy6ludBnLQ7Vv357+/fvTtm1brrnmGt566y2ysrIAKCoqwt/fv9xrIiIieOedd5g1axaNGzdmwoQJ5bYJCAjA4XBgs9lISkoiODjY9Zg8eTIFBQXs3r2bW2+91W3dc889x+7du9321aNHD9e0t7c3nTt35vfffwfgrrvuYv78+XTo0IGHH374jO4a+/333+nVq5fbsl69erFz507sdrtrWbt27VzTFouF2NhY0tLSKvw+IiLnRVkJfDwainOgbmfoP8nsiqodndk5Q5aAAJr/ut60964oq9XKkiVLSExM5LvvvmPGjBk8/vjjrFmzhlq1arF58+YTvm7FihVYrVaSk5MpKChwu9QFkJmZSVBQEAEBAcTFxbm1m4mMjCQ/Px+At956i27dupWrqaIGDx7Mvn37+Prrr1myZAn9+/dnzJgxvPTSSxXex+n4+Lhf67ZYLKbfaSYiUs6SJ+HQr852OtfMAW9fsyuqdnRm5wxZLBa8AgNNeVS0vc7xtfbq1Yunn36aDRs24Ovry6JFi+jYsSPbt2/HMAy37RMTE5k6dSr/+9//CA4OZuzY8qPmbtmyhY4dOwLOszFNmjRxPSIjI4mJiSEuLo4///zTbV2TJk1ISEhw29fPP//smi4rK2P9+vW0bNnStax27dqMGjWKDz74gOnTp1e4AXHLli1ZtWqV27JVq1bRrFmzMwpcIiKm2/Y5rHnDOT1sNoTXN7eeakpndjzUmjVrWLp0KQMHDiQ6Opo1a9aQnp5Oy5Yt6dq1K/n5+WzdutXVV01eXh433XQT9957L4MHDyY+Pp4uXbowZMgQrr76atd+V65cycCBA0/53k8//TT33nsvYWFhXHrppdhsNtatW0dWVhbjxo1zbffaa6/RtGlTWrZsySuvvEJWVhb//Oc/AZg4cSKdOnWidevW2Gw2vvzyS7cgdCrjx4+nS5cuPPvss1x33XWsXr2amTNnut0RJiJS5WX+CZ8f+aOz573Q/FJz66nGdGbHQ4WGhrJixQouu+wymjVrxhNPPMG0adMYPHgwUVFRDBs2jHnz5rm2v++++wgKCmLy5MmAszHz5MmTufPOOzl48CAABw8eJDExkdGjR5/yvW+77Tbefvtt5syZQ9u2benbty9z584td2bn+eef5/nnn6d9+/b89NNPfPHFF9Sq5Ryt19fXl0cffZR27dpx4YUXYrVaK3TLO8AFF1zAggULmD9/Pm3atGHixIk888wzbo2TRUSqtKPjXh3tT6f/RLMrqtYsxl+vZdRAubm5hIWFkZOTQ2hoqNu64uJi9uzZQ0JCwgkb9VZXv/32G5dccgm7d+8mODi4Qq955JFHyMrKOuv+aPbu3UtCQgIbNmygQ4cOZ7WvqsBTf0ZExERfPgDr/uMc9+r/VkJYvNkVVUmn+v4+ns7s1FDt2rVj6tSp7Nmzp8KviY6O5tlnn63EqkREhN8+dgYdLM4BPhV0zpra7NRgZ3pZZ/z48ZVTiIiIOKVth//d55y+8CFoMsDcejyEwo6cdw0bNix3J5iISI1ny4cFN0NpAST0hX7l+zqTv0eXsURERMxmGM52Ood3QEgd57hXXuoq41xR2KkgnYmQk9HPhoictfVzYPMCsFjh6jkQXNvsijyKws5pHO2ErqSkxORKpKo6Oir8X3tkFhGpkIO/wjePOKcHTIIGPU69vZwxtdk5DW9vbwIDA0lPT8fHx+ekg19KzWMYBoWFhaSlpREeHq7emUXkzBVmwoJRYC+BFlc4Ow+Uc05h5zQsFgt16tRhz5497Nu3z+xypAoKDw8nNjbW7DJEpLpxOODTOyAnCSIbwdDX4QyHBZKKUdipAF9fX5o2bapLWVKOj4+PzuiIyN+z8iXYtQS8/eHa98A/zOyKPJbCTgV5eXmpd1wRETk3dv8Ay5zD83DFKxDb1tx6PJwaoIiIiJxP2fvhk9sAAy4YBR1uMLsij6ewIyIicr6U2ZwdBxZmQJ32MPgFsyuqERR2REREzpdvHoFDv0JABFz7PvioecT5oLAjIiJyPmyY5+w8EAsMfxsiGphdUY2hsCMiIlLZkjfBV+Oc0xc9Bk01wOf5pLAjIiJSmQoz4aOboKwYmg6CPg+aXVGNo7AjIiJSWY52HJi9DyIawvDZoJ74zzt94iIiIpXlxylHOg4McDZIDogwu6IaSWFHRESkMmz/GlYcubV8yL+hTjtz66nBFHZERETOtcO7YNGdzulu/wftrzO3nhpOYUdERORcsuXDRyPBlgv1e8LA58yuqMar0mHHbrfz5JNPkpCQQEBAAI0bN+bZZ5/FMAzXNoZhMHHiROrUqUNAQAADBgxg586dJlYtIiI1lmHA52MgfTsEx8I1c8HqY3ZVNV6VDjtTp05l1qxZzJw5k99//52pU6fywgsvMGPGDNc2L7zwAq+++ipvvPEGa9asISgoiEGDBlFcXGxi5SIiUiOt+jds+wy8fOC69yEkxuyKhCo+6nliYiJXXnkll19+OQANGzbkv//9L7/88gvgPKszffp0nnjiCa688koA3nvvPWJiYvjss88YMWKEabWLiEgNs2spLH3aOT34eajX1dx6xKVKn9np2bMnS5cu5Y8//gBg06ZN/PTTTwwePBiAPXv2kJKSwoABx3qiDAsLo1u3bqxevdqUmkVEpAbK3AML/wmGAzreBJ1vNbsiOU6VPrMzYcIEcnNzadGiBVarFbvdzr/+9S9GjhwJQEpKCgAxMe6nCWNiYlzrTsRms2Gz2Vzzubm5lVC9iIjUCCUFMH8kFGdD3U5w2UtgsZhdlRynSp/ZWbBgAfPmzePDDz/k119/5d133+Wll17i3XffPav9TpkyhbCwMNejXr1656hiERGpUQwDPh8LaVshKBqu+0AjmVdBVTrsPPTQQ0yYMIERI0bQtm1bbrrpJh544AGmTJkCQGxsLACpqalur0tNTXWtO5FHH32UnJwc12P//v2VdxAiIuK5El+FrZ+Clzdc+y6ExpldkZxAlQ47hYWFeP1lDBGr1YrD4QAgISGB2NhYli5d6lqfm5vLmjVr6NGjx0n36+fnR2hoqNtDRETkjOz6Hr5/yjl96fPQoKep5cjJVek2O0OGDOFf//oX9evXp3Xr1mzYsIGXX36Zf/7znwBYLBbuv/9+nnvuOZo2bUpCQgJPPvkkcXFxDB061NziRUTEc2XsPq5B8o3Q5TazK5JTqNJhZ8aMGTz55JPcfffdpKWlERcXx5133snEiRNd2zz88MMUFBRwxx13kJ2dTe/evVm8eDH+/rpmKiIilcCWB/NvgOIciO8Cl7+sBslVnMU4vjviGio3N5ewsDBycnJ0SUtERE7O4YCPboQdXzl7SL7jRwitY3ZVNVZFv7+rdJsdERGRKmXFC86gY/WFEfMUdKoJhR0REZGK+P1L+NF5NzBXvALxnc2tRypMYUdEROR0UrfCp3c4p7v9n7NRslQbCjsiIiKnUpAB/x0BpQWQ0BcG/svsiuQMKeyIiIicjL0UPh4F2UkQkQDXzAVrlb6RWU5AYUdERORkFk+AvSvBNxiu/y8ERppdkfwNCjsiIiInsu4/sPZtwAJXvQ3RLc2uSP4mhR0REZG/2rMSvn7IOX3xE9B8sLn1yFlR2BERETle5h5YcBM4yqDNVdBnvNkVyVlS2BERETmqONd551VRFsR1hCtf01AQHkBhR0REBMBhh09uhfTtEFIHRvwXfALMrkrOAYUdERERgO8nwc7vwNtfQ0F4GIUdERGRDfMgcYZzeujrULeTufXIOaWwIyIiNdveVfC/+5zTFz7kbJQsHkVhR0REaq7MP+GjG8FRCq2uhH6PmV2RVAKFHRERqZmKc+DDEVCU6bzzaugb4KWvRU+kf1UREal57GXw8S1weAeExDnvvPINNLsqqSQKOyIiUvN8+xjs/gF8Ap1jXunOK4+msCMiIjXLmjfhl9nO6WGzIa6DqeVI5VPYERGRmmPnElj8iHO6/yRo9Q9z65HzQmFHRERqhtSt8PFoMBzQ8Ubo/YDZFcl5orAjIiKeLy8VPrwOSvKgYR+4/BWNeVWDKOyIiIhnKy2C+ddDzn6IagLXvgfevmZXJeeRwo6IiHguhwMW3QkH10NABNywAAIjza5KzjOFHRER8VxLn4Ztn4OXD1w3D6Iam12RmEBhR0REPNP6ubBqunP6ytegYS8zqxETKeyIiIjn2bUUvhznnO73GLS/ztx6xFQKOyIi4llSt8KCUWDYod0I6Puw2RWJyRR2RETEc+Qmw7xrnbeYN+gN/3hVt5iLwo6IiHgIWz58eC3kHoCopnDd++DtZ3ZVUgUo7IiISPV3dBTzlN8gsBaM/Fi3mIuLwo6IiFRvhgFfj4ddS8A7wNmXTmSC2VVJFaKwIyIi1dtPrzhvM8cCV78D8Z3MrkiqGIUdERGpvjYvdHYcCDB4KrS43Nx6pEpS2BERkeppzwpY9H/O6e5joNud5tYjVZbCjoiIVD+p22D+jeAohVZXwsDnzK5IqjCFHRERqV5yD8G8q8GWA/V7wLA3wUtfZ3Jy+ukQEZHqozgH5l0DuQehVjMY8SH4+JtdlVRxCjsiIlI9lJXARzdB6hYIjoGRC9WXjlSIwo6IiFR9Dgd8fjfsWQ6+wc5OAyMamF2VVBMKOyIiUvV9PxE2fwxe3nDtu1CnvdkVSTWisCMiIlXb6tcgcYZz+srXoMkAc+uRakdhR0REqq7NC+Hbx5zTA56C9iNMLUeqJ4UdERGpmv5cfqzTwK53Qq/7TS1Hqi+FHRERqXqSN8H8kUc6DRwKl04Bi8XsqqSaUtgREZGqJfNP+OBqKMmDhn1g2GzwsppdlVRjCjsiIlJ15KfB+8OgIA1i2sKIeeo0UM6awo6IiFQNxbnwwVWQtRfCG8CNn4B/mNlViQdQ2BEREfOV2WD+DZDyGwTWgpsWQUiM2VWJh6jyYefgwYPceOONREVFERAQQNu2bVm3bp1rvWEYTJw4kTp16hAQEMCAAQPYuXOniRWLiMgZcdjhk9tg70pn78g3LoSoxmZXJR6kSoedrKwsevXqhY+PD9988w3btm1j2rRpREREuLZ54YUXePXVV3njjTdYs2YNQUFBDBo0iOLiYhMrFxGRCjEM+PIB+P0LsPo62+jEdTS7KvEwFsMwDLOLOJkJEyawatUqVq5cecL1hmEQFxfH+PHjefDBBwHIyckhJiaGuXPnMmJExTqfys3NJSwsjJycHEJDQ89Z/SIichrfPw0/vQwWL7hmLrS60uyKpBqp6Pd3lT6z88UXX9C5c2euueYaoqOj6dixI2+99ZZr/Z49e0hJSWHAgGNdh4eFhdGtWzdWr1590v3abDZyc3PdHiIicp4lznAGHYArXlHQkUpTpcPOn3/+yaxZs2jatCnffvstd911F/feey/vvvsuACkpKQDExLg3YouJiXGtO5EpU6YQFhbmetSrV6/yDkJERMrb+CF894Rzuv8k6HSLqeWIZ6vSYcfhcHDBBRcwefJkOnbsyB133MHtt9/OG2+8cVb7ffTRR8nJyXE99u/ff44qFhGR0/r9S/h8rHO6x1jo/YC59YjHq9Jhp06dOrRq1cptWcuWLUlKSgIgNjYWgNTUVLdtUlNTXetOxM/Pj9DQULeHiIicB38uh4WjwbBDh5FwybMaBkIqXZUOO7169WLHjh1uy/744w8aNGgAQEJCArGxsSxdutS1Pjc3lzVr1tCjR4/zWquIiJzGgfXw3+vBXgIth8CQV8GrSn8NiYfwNruAU3nggQfo2bMnkydP5tprr+WXX37hzTff5M033wTAYrFw//3389xzz9G0aVMSEhJ48skniYuLY+jQoeYWLyIix6T9DvOugtICaNQPrnoHrFX6K0g8SJX+SevSpQuLFi3i0Ucf5ZlnniEhIYHp06czcuRI1zYPP/wwBQUF3HHHHWRnZ9O7d28WL16Mv7/GUhERqRKy9jrHuyrKgrqd4bp54O1ndlVSg1TpfnbOF/WzIyJSSXIPwX8uhex9EN0KbvkKAiPNrko8hEf0syMiItVYwWF4b6gz6EQkOMe7UtAREyjsiIjIuVec47x0dXgHhNaFmz+HkJPfJStSmc447IwaNYoVK1ZURi0iIuIJSgpg3rXOEcyDajuDTkQDs6uSGuyMw05OTg4DBgygadOmTJ48mYMHD1ZGXSIiUh2VFsP8G2D/z+Af5rx0Vaup2VVJDXfGYeezzz7j4MGD3HXXXXz00Uc0bNiQwYMHs3DhQkpLSyujRhERqQ7KSuDjUfDnj+ATBCM/gdi2Zlcl8vfa7NSuXZtx48axadMm1qxZQ5MmTbjpppuIi4vjgQceYOfOnee6ThERqcrsZfDp7fDHYvD2hxs+gnpdzK5KBDjLBsrJycksWbKEJUuWYLVaueyyy9i8eTOtWrXilVdeOVc1iohIVeZwwOdjYNtn4OXj7EcnoY/ZVYm4nHHYKS0t5ZNPPuGKK66gQYMGfPzxx9x///0cOnSId999l++//54FCxbwzDPPVEa9IiJSlRgGfPUA/DYfLFa4Zi40HWB2VSJuzrgH5Tp16uBwOLj++uv55Zdf6NChQ7ltLrroIsLDw89BeSIiUmUZBix+FNbPBSww/E1oeYXZVYmUc8Zh55VXXuGaa6455XAM4eHh7Nmz56wKExGRKsww4PtJsGaWc/4fM6Dt1ebWJHISZxx2brrppsqoQ0REqpNlk2HVv53Tl78MF+i7Qaou9aAsIiJnZvmLsOIF5/SlU6HLrebWI3IaCjsiIlJxq/4Ny55zTl/yLHT/P3PrEakAhR0REamY1a/BkonO6YufhF73mluPSAUp7IiIyOn9/AZ8+5hzuu8EuPBBc+sROQMKOyIicmpr3oTFjzinL3wI+k0wtx6RM6SwIyIiJ7f2bfjmIed07wfgosfBYjG3JpEzpLAjIiIntu4/8NV453TPe6H/JAUdqZYUdkREpLy178CXDzine4yFS55R0JFqS2FHRETcrX0bvhrnnO4xFgY+p6Aj1ZrCjoiIHPPLW8cuXSnoiIdQ2BEREadf3oKvj9xS3vMeBR3xGAo7IiLivL3cFXTudfaOrKAjHkJhR0Skplv92rHby3veq8bI4nHOeNRzERHxIKv+fWwIiD4PwsVPKOiIx1HYERGpqVa8BD8865zuO8HZM7KCjngghR0RkZrGMGD5VPhxinP+oieg70Pm1iRSiRR2RERqEsOApU/DT6845/tPgj7jzK1JpJIp7IiI1BSGAYsfhTWznPODpkCPu82tSeQ8UNgREakJHA5nr8jr5zjnL58GXW4ztyaR80RhR0TE0zns8MU9sHEeYIF/zIALbjK7KpHzRmFHRMST2Uvh0ztg66dgscKw2dDuGrOrEjmvFHZERDxVaTF8fAv88Q14+cDV70CrK82uSuS8U9gREfFEtnyYfwPsWQ7e/nDdB9D0ErOrEjGFwo6IiKcpyoYPr4X9a8A3GK6fDwl9zK5KxDQKOyIinqTgMHwwHJI3gX8Y3PgpxHc2uyoRUynsiIh4ipwD8P4wOPwHBNaCmz+D2LZmVyViOoUdERFPkLEb3rsScvZDaLwz6NRqanZVIlWCwo6ISHWXstl5RqcgHaKawE2fQXg9s6sSqTIUdkREqrOkNfDhNVCc47xkdeMiCK5tdlUiVYrCjohIdbVzCXx0E5QVQb3ucMNHEBBudlUiVY7CjohIdbR5ISy6Exxl0OQSuPZd8A0yuyqRKsnL7AJEROQM/fIWfHKbM+i0vQau/6+Cjsgp6MyOiEh1YRiwfCr8OMU53/UOuHQqeOnvVpFTUdgREakOHHb4+iFY945zvt+j0PcRsFjMrUukGlDYERGp6kqL4dPb4fcvAAtc9iJ0vd3sqkSqDYUdEZGqrDgH5o+EvSvB6gvD34TWw8yuSqRaUdgREamq8lLhg6sgdTP4hsCIedCor9lViVQ71apV2/PPP4/FYuH+++93LSsuLmbMmDFERUURHBzMVVddRWpqqnlFioicC4d3wjsDnEEnKBpGf6WgI/I3VZuws3btWmbPnk27du3clj/wwAP873//4+OPP2b58uUcOnSI4cOHm1SliMg5sH8tvDMQspMgshHc+i3UaW92VSLVVrUIO/n5+YwcOZK33nqLiIgI1/KcnBzeeecdXn75ZS6++GI6derEnDlzSExM5OeffzaxYhGRv2n71/DuECjKhLgL4J/fOQOPiPxt1SLsjBkzhssvv5wBAwa4LV+/fj2lpaVuy1u0aEH9+vVZvXr1Sfdns9nIzc11e4iImG7dHPhopHP4h6YD4ZYvNc6VyDlQ5Rsoz58/n19//ZW1a9eWW5eSkoKvry/h4eFuy2NiYkhJSTnpPqdMmcLTTz99rksVEfl7DAN+eA5WvuSc73gjXPFvsFb5/6JFqoUqfWZn//793HfffcybNw9/f/9ztt9HH32UnJwc12P//v3nbN8iImekrMQ5xtXRoNP3EfjHTAUdkXOoSv82rV+/nrS0NC644ALXMrvdzooVK5g5cybffvstJSUlZGdnu53dSU1NJTY29qT79fPzw8/PrzJLFxE5vaJs+OhGZx86FisM+TdccJPZVYl4nCoddvr378/mzZvdlo0ePZoWLVrwyCOPUK9ePXx8fFi6dClXXXUVADt27CApKYkePXqYUbKISMXkHIAProb038E32DlqeZMBp3+diJyxKh12QkJCaNOmjduyoKAgoqKiXMtvvfVWxo0bR2RkJKGhodxzzz306NGD7t27m1GyiMjpHdoIH14H+SkQHAsjP4Y67U77MhH5e6p02KmIV155BS8vL6666ipsNhuDBg3i9ddfN7ssEZET27EYFv4TSgsguhXcsADC65ldlYhHsxiGYZhdhNlyc3MJCwsjJyeH0NBQs8sREU+1ZjYsngCGAxpd5Lx05R9mdlUi1VZFv7+r/ZkdEZEqz2GHbx+HNbOc8xeMgsungdXH3LpEagiFHRGRymTLg09ugz8WO+cHPA297gOLxdy6RGoQhR0RkcqSc8DZEDl1C3j7w7A3oPUws6sSqXEUdkREKsOB9TD/eshPdY5afv18iO9kdlUiNZLCjojIubb1M2evyGXFENPGGXR0x5WIaRR2RETOFcOA5S/Aj5Od800HwdXvgF+IuXWJ1HAKOyIi50JJIXx+N2xd5JzvPgYGPgteVnPrEhGFHRGRs5Z7CObfAIc2gJcPXPEyXHCz2VWJyBEKOyIiZ+PAevhoJOQlQ0AkXPcBNOxldlUichyFHRGRv2vTfPjiXrDboHYLZ0PkyASzqxKRv1DYERE5Uw47fD8JEmc455sNhuFvgr+GmxGpihR2RETORFE2fHIr7PreOd9nPFz0BHh5mVqWiJycwo6ISEWl74D/Xg+Zu8E7AIa+Bm2uMrsqETkNhR0RkYr4/UtY9H9Qkgeh8XD9h1CnvdlViUgFKOyIiJyKwwHLn4flU53zDXrDNXMhuLapZYlIxSnsiIicTHEOfHon/PGNc77b/8HA58DqY25dInJGFHZERE4k7XeYP9LZPsfqB0OmQ4cbzK5KRP4GhR0Rkb/a8il8PhZKC5ztc657D+pqxHKR6kphR0TkKHuZs/+c1TOd8wl94er/QFAtc+sSkbOisCMiApCfBgv/CXtXOud73QcXTwSr/psUqe70Wywism81fHwL5KeAbzBc+Rq0Hmp2VSJyjijsiEjNZRjw8+vw3ZNg2J3jW137PtRuZnZlInIOKeyISM1UnAtfjIVtnzvn21wNQ/4NfsHm1iUi55zCjojUPCmbYcEo523lXj5w6RTochtYLGZXJiKVQGFHRGoOw4Bf34NvHoayYudt5dfMhXpdzK5MRCqRwo6I1AwlBfDlOPhtvnO+6UAYNhsCI82tS0QqncKOiHi+1G3Ou60O7wCLFfo/CT3vAy8vsysTkfNAYUdEPNdfL1sFxzo7CWzYy+zKROQ8UtgREc9UnAtfPgBbFjrnmwyAoW9otHKRGkhhR0Q8z6GNsHA0ZP6py1YiorAjIh7E4YA1s2DJJHCUOu+2uvo/UL+b2ZWJiIkUdkTEM+Snw2d3wa4lzvnml8OVM3W3lYgo7IiIB9j9A3x6JxSkgdUPLp0MnW9VJ4EiAijsiEh1VmaDH56FxBnO+dot4ep3IKa1uXWJSJWisCMi1VP6DvjkVufQDwCdRsOgyeAbaG5dIlLlKOyISPViGLDuHfj2cWffOQGRzrY5LS43uzIR+Qub3cbqQ6v5NfVXHuj0ABaTLi0r7IhI9ZGfBl/cA38sds43ugiGvQEhsebWJSIuxWXFrDq4iu/2fcfyA8spKC0A4B+N/0GTiCam1KSwIyLVw/avnUGn8DBYfWHAU9DtLvWdI1IFFJYWsuLACpbsW8LKgyspKityrfNyhFOa0xq7w7zIobAjIlWbLQ8WPwob3nfOR7eG4W9CbBtz6xKp4XJsOa6Ak3goEZvd5lrnZY+kOLs1Xpkt6LQvj7aZe8m4IgiizKlVYUdEqq6kn2HRnZC1F7BAz7Fw8ZPg7Wd2ZSI10uGiw/yQ9ANLk5byS/IvlBllrnVeZbUpym6NT2YzOu7L4cLkzXRNfQefshIAEuyZgDnDtSjsiEjVU1oMy/515JZyA8LqwdBZkNDH7MpEapyD+QdZum8pS5OWsiFtAwaGa51XaR2Kslvhl9GUTvsO0ydlC53SluNTVuraxic+npBBA7EGB5tRPqCwIyJVzaENsOj/IH27c77Djc5OAv3DzK1LpIYwDINd2btYmrSUH5J+4PfM393WW2z1Kc5pRUB6At2TUrgwZTPt077H6rC7tvFpUJ/QQZcSMmgg/q1amXYX1lEKOyJSNZSVwMppsPIlcJRBUDQM+Te0uMzsykQ8nsNw8Fv6byxNcp7B2Z+3/7i1FihqRHFOK8JS69FzfxJ9UrfQKv0rvIxjZ3n8mjYh5JKBhAwaiF+zZqYHnOMp7IiI+ZJ/g8/uhtQjHQS2GgqXvwxBJrVmFKkBbHYba5LX8EPSD/y4/0cyijNc6yx4Yy9oSklOK2KSa9PjwJ/0Tf2VxhmL3Pbh36oVIQMvIWTgQPwaNTrPR1BxCjsiYp6yEvjpZVjxovNsTkAkXPYitLlK41qJVIKjd1At27+Mnw7+5H6LuBFASV5zSnNa0fBgMD0P7qBv2nLislOO7cBiIaBjR0IuuYSQSy7BN76uCUdx5hR2RMQcyZvg8zHHhntoOcR5Nic42ty6RDzMgbwDLNu/jGX7l/Fr6q/YjWNta6yOcIqyW+LIbUHLJOiZ/DsXpv2PiPysYzvw9iaoWzdnwOl/Md61zbmj6mwo7IjI+VVaDCtegJ+mg2F3ns25/CVoPVxnc0TOAYfhYMvhLfy4/0eW7V/Gruxdbuu9SutQlNMSa1ZT2ibl0SN5Kz3TPySwuMC1jSUggOA+fQgZ0J/gfv2whoae56M4txR2ROT82f+L82zO4T+c862uhMte0tkckbNUWFrIz8k/s/zAcpbvX/6X9jdeGEUJFOe0JPhwfbrsT6ZX6jY6pi9zu0XcGh5O8MUXEzJgAEE9e+Dl72/GoVQKhR0RqXy2fPjhOVjzBmA477S6fBq0+ofZlYlUWykFKaw4sIIf9//ILym/uPdgbARQmteUktwWxKZE0ePgbnqnbaRpxudYjruDyic+npD+/QkZ0J+Ajh2xeHtmLKjSRzVlyhQ+/fRTtm/fTkBAAD179mTq1Kk0b97ctU1xcTHjx49n/vz52Gw2Bg0axOuvv05MTIyJlYuIyx/fwVfjIOfIrawdRsLA5yAw0ty6RKoZh+Fg6+GtzrM3B5azPXO723qrPYqinOY4cpvTfL+F7ik76JP2PdG5aW7b+bduTXD/iwnp37/K3SJeWSyGcVzEq2IuvfRSRowYQZcuXSgrK+Oxxx5jy5YtbNu2jaCgIADuuusuvvrqK+bOnUtYWBhjx47Fy8uLVatWVfh9cnNzCQsLIycnh9Bqfl1SpMrIT4PFE2DLJ8758PpwxSvQZIC5dYlUI/kl+SQeSmTFgRX8dPAnt8tTYMFia0BxTnN8shrRcX8WPVK20T19h1v7G3x8COra1RlwLr4Yn9jY834claWi399VOuz8VXp6OtHR0SxfvpwLL7yQnJwcateuzYcffsjVV18NwPbt22nZsiWrV6+me/fuFdqvwo7IOeRwwMZ58N0TUJwNFi/ofjdc9Bj4BpldnUiVZhgGe3L3sPLASlYeWMn6tPWUOY4bf8rwpzS/KSV5LaidUpsuh/bRK+13WqfvduvB2BoWRnC/vgRfdDFBvXuZOlRDZaro93eVvoz1Vzk5OQBERjpPf69fv57S0lIGDDj2l2KLFi2oX7/+KcOOzWbDZjt2bTM3N7cSqxapQdK2w5cPQFKicz62HfzjVYjraG5dIlVYcVkx61LXsfLASlYcWMGB/ANu661l0RTlNMOR24xmByx0S91Br/QfictOdtvONyGB4IsuIuSifh7d/ubvqDafhMPh4P7776dXr160adMGgJSUFHx9fQkPD3fbNiYmhpSUlBPsxWnKlCk8/fTTlVmuSM1SWgQrXoJV/wZHKfgEOs/kdLsLrNXmvxmR82Z/3n5+OvgTKw+sZG3KWortxa51FrwxChtRnNuMgIwGdDyYTrfU3+maPo8A23GXp6xWAjt3JrhfP0Iu6odvw4bn/Tiqi2rzv9CYMWPYsmULP/3001nv69FHH2XcuHGu+dzcXOrVq3fW+xWpkXYuga8fgqw9zvlmg529IIfrd0rkKJvdxrqUdfx08Cd+OvgTe3P3uq23OiIoymmKPa8Z9ZKD6ZKym57pv9H08Odu409Zw8II6nshIf36EdS7d7Xv/+Z8qRZhZ+zYsXz55ZesWLGC+Ph41/LY2FhKSkrIzs52O7uTmppK7CkaYPn5+eHn51eZJYt4vuz9zgbI2790zofEwWUvQIsr1Dmg1HiGYZCUl8RPB39i1cFVJzh744VR3BBbbjO8sxrR+mAOXVJ30PPw54Qf33sx4NesGcF9+xJ8UT8C2rfHYrWe56Op/qp02DEMg3vuuYdFixbx448/kpCQ4La+U6dO+Pj4sHTpUq666ioAduzYQVJSEj169DCjZBHPV1YCP78Gy1+A0kKwWKHH3dD3EfALMbs6EdMUlBbwS/IvrDq0ilUHV5Vve+MIpzi3KWV5zYhNDadz8h56pG+n9eHFWO3HGiFb/P0J6t7d2cC4Tx986laP8aeqsioddsaMGcOHH37I559/TkhIiKsdTlhYGAEBAYSFhXHrrbcybtw4IiMjCQ0N5Z577qFHjx4VvhNLRM7ArqXwzSOQsdM5X7+ns3PAmFbm1iViAofhYHvmdhIPJbLq4Co2pm90u3PKgtXZc3FuU7xzEmh1II/OadvpcfhLovIy3PblU68ewRdeSHC/vgR26eJRvRdXBVX61vOTdXQ0Z84cbrnlFuBYp4L//e9/3ToVPNVlrL/Srecip5G1D7597Nglq6Dazo4B212nS1ZSo6QXprM6eTWrDq7i5+SfySzOdFtvtdeiKKcJZflNqZsSQueUP+l2+A9aH/7T/eyNjw+BXboQ3K8vQX364NuwYY3o3O9c88h+diqLwo7ISZQUQuKr8NMrUFbsvGTV7f+g3yPgH2Z2dSKVrqisiF9TfyXxUCKrk1ezM2un23ovw4+ywsaU5DXFP7Me7Q9l0CntD7pn/FGu7Y1PfDzBF/YhqE8fgrp1wysw8HweikfyyH52ROQ8MQzY+iksmXRsmIeGfZx3WUW3NLc2kUpkd9jZnrmd1cmr+fnQz/ya9iuljtLjtrDgVRJPUW4TjNzGNE724oK0XXTP+JXGhz91u3PK4udHYLeuBPfuQ1Dv3vgm6OyNWRR2RMTdoY3Ou6ySVjvnw+rBJc9A62G6ZCUeaX/efn5O/pmfD/3MmpQ15Nhy3NZbHREU5zamLL8pUem16Jiyn87pO7ng8CoCbIVu2/o2bkxw714E9e5DYJfOantTRSjsiIhTXgr88CxsmAcY4B0AfcZBz3vAJ8Ds6kTOmcziTH5J/sUZcJJ/5mD+Qbf1XoY/ZQWNKMlvgm92PVodyuGCtD/olvkdMTmp7tuGhhLUvTtBfXoT3KsXPnFx5/NQpIIUdkRqupJCWD0TfpoOpUd6Z217DQx4CsLiT/VKkWqhoLSA9anr+Tn5Z9Ykr+GPrD/c1luwQnEDivMaYeQ1oskhg47pu+masZGmhz/Dy3Ac29hqJaB9e4J69SS4Vy/827TRsAzVgP6FRGoqhwM2L4Dvn4a8Q85l8V1g0GSo19Xc2kTOQnFZMRvTN/JL8i+sSVnD1sNbsRt2t22sZXEU5TSiLL8xcanBdEjfR+fDu2h/+Ef8SordtvVpUJ/gXr0I6tmTwG7dsIaoP6nqRmFHpCbavQyWTISU35zzYfXhkqeg9XC1y5Fqp8Rewm/pv7E2ZS2/pPzCpvRNf2lUfOSW8NxG2AsaE55Rm/Yph+h4eBddMj4htCDbfduwMAJ79CCoZw+CevbEN15nOKs7hR2RmiRls/MOq91LnfN+odD7Aeh+N/ioIaVUD6X2UrZkbGFtylrWpqxlY9pGt6EYAKyOMGx5jSktaERAVhytUjLokL6TrlnfEZPt3u7G4utLYOdOBHZ3hhv/Vi2xeHmdz0OSSqawI1ITZO2DH6fApvmAAV4+0OU2uPAhCIoyuzqRUzoabtalrHOGm/SNFJUVuW1jNUIoyWtEaUEjvHPiaZ6SS/v0XXTJWkX9zANYju9SzssL/9atnQ2Le/YgoGNH3TXl4RR2RDxZfjqsnAbr3gF7iXNZ6+HQ/0mIbGRubSInYbPb2HLYGW7Wpa478ZkbI5jS/ARKChrhnVOPxikFtD/8J52z1tEo41O8HO5tdHwbN3aGmx7dCezaVaOF1zAKOyKeqDgXVr/mvMuqJN+5LKEvDJgEdTuZW5vIXxSWFrIpfRPrU9ezPnU9v6X/RomjxG2bY+EmAa+8+jRPLqTd4T10ytpE04zP3YZiAGdvxUE9uhPYrTuBXbvgEx19Pg9JqhiFHRFPUlIAv7wFq6ZD0ZGu6ut0cN5G3vgiEwsTOSbHlsOGtA38mvor61PXsy1jG2WGe1ixGqGU5DektCABa049ElKLaHf4Ty7I+o2mGf/D2+7eANk7Npagbl0J7NqNwG7d8I3XSOFyjMKOiCcos8H6ubDiJShIcy6LagoXPw6thuoOKzFVSkEKv6b+yq9pznCzK3tXuW28HREU5zekrCABa25dGqfk0/bwHi7I3njCMzfetWsT2K0bgV27ENS1Kz4NGmgoBjkphR2R6qzMBhveh5UvQ+6RXmDD60O/R6HttWDVr7icXw7Dwa7sXWxM28ivab+yIXUDhwoOldvO2x5DUV59ygoS8MupQ5PUbNpm7KZj9i8kZOzH+pc2N97R0QR27Upg1y4EdumiUcLljOh/QpHqqKzkuJBzwLkspI7z7qqON4G3r7n1SY1RVFbElsNb2JC2gQ1pG9iUtom80jy3bSx44VVal6Lc+tiLEgjJrEWrtDTaZOzhgpyV1Pvr3VKAd506BHbpTGDnzgR164ZP/foKN/K3KeyIVCdHz+T8NP3YaOQhdaD3OLjgZvWVI5UutSCVjekb2ZjmfGzP3F6uvY0XfhjF9SnOq4+9oAHRGcG0Tj9I28w9dMz+mto5aeX269ugAQGdOxHYpQuBnbuozY2cUwo7ItVBSSH8+i6s+jfkJTuXBcc6B+q8YJRCjlSKUkcpOzJ3sCl9kzPcpG8kpSCl3HbeRji2/PqUFjTAKKhHwzSD1hlJtM3cS7usnwkpdB9FHIsFv2bNCOzUicAunQno1El3S0mlUtgRqcqKc2Hdf5y3kBekO5eFxEHv+4+cydFo5HLupBemsyl9E5vSN/Fb+m9szdiKzW77y1YWvEvrUphXD3tRA/xyYkhIy6F15l7aZW+lWebX+Ja6v8bi44N/mzYEdu5EQKdOBHbsiDUs7PwdmNR4CjsiVVHBYfh5Fqx9C4qP/FUcXt95uarDDeDtZ259Uu0VlxWzPXO7K9hsPryZ5ILkcttZjSDsRfWx5dfDXlif2hlBtMw4ROuMvXTIXUZc1qFy7W28QkMJ6NCewE6dCex0Af5t2+Llp59ZMY/CjkhVkp0EiTPh1/fgaHf4UU2d41e1uxasPubWJ9WSw3CQlJvE5sOb2ZS+ic2HN/NH5h/l2tqABe+yOIry4ikrqo81rw5N0otpkbmPtllJtM7+ieDC3HL794mPJ+CCjgRe0ImACzri16SJxpaSKkVhR6QqSN4Eq16FrYvAOHLLbVxH55mcFleAvjjkDBwuOszm9M1sPryZLYe3sCVjC3kleeW28zZCKS2sR0lBPeyF8URlBtMyI5mWmfton5tIvcwD5W4Bx8cH/1YtCex4AQEXdCSgQwe1t5EqT2FHxCyG4Rx9fNWrsGf5seUJfZ1nchr1U2eAclq5Jblsy9jGlsNb2Hp4K5sPbya1MLXcdl74YCmJpyivLvai+vjkxdAwPY8WWUm0yd5Lq+wVJzxrY61Vi8COHQjo0JGAjh3xb91Kl6Sk2lHYETnfSovgtwXONjnpvzuXWazQZjj0vAfqtDe3PqmyCksL+T3zd7Ye3srWDOdjX+6+E2xpwdseS1FeHPai+hgFccQfttA86yAtspJol7eU2KxDeP2lrQ3e3vi3bElAhw4EtG/vPGtTN07920i1p7Ajcr7kpcLat50jkBdmOJf5Bjs7Aexxt7MBssgRhaWFbM/czraMbWzL2MbWjK3sydmDgVFuW29HFLaCupQWxuMoqktUVhDNMlJpnpVEm7wNNMr8otwdUuDsuC+gfXvXw79VS7z81Y2BeB6FHZHKdmAdrHkDtn4GjiODF4bVg27/BxfcBP66BbemyyvJY3vmdn7P+J3fM39nW8a2kwcbI5zSwjhKCupiL65HcE44TQ5n0DR7P61yd9EiaxlBReXb53gFBuLfps2RYNMO/3bt1NZGagyFHZHKUFoM2z6DNbPh0K/Hlsd3dZ7FaTFE41bVUBlFGc5gk/m7K+Ak5SWdcFtvI5yywjhshXHYi+MJzImkQWYOTbP20yLnAC1zfyEiL+MEL/TGv1kz/Nu1JaBtOwLatcW3USMsVmslH51I1aT/bUXOpcw9sH4O/Po+FGU6l1l9oc3V0O0O5x1WUiM4DAcH8w6yPcsZaHZk7WB7xnbSisoPlQDg7YiktCiOksI62IvqEpjrDDZNsg/QPOcgLfPWE5WTXv6FFgu+DRsS0K4t/m3aEtC2DX4tW6oRschxFHZEzpa9DHYtgbXvwK7v4eilh9B46HwLXHALBNc2sUCpbMVlxezK3sX2zO3syNzBH1l/8EfWH+SX5p9gaws+jtoUF9ShrKgO9uK6BOeEkZCZRePsgzTPPUiL3HVE5Z4g2AA+9erh37o1AW3b4N+mLf6tW2ENDq7cAxSp5hR2RP6u7CTnGZwN7x8brwqgcX/ocis0HaRLVR7GMAxSClLYkXUs0OzI3EFSXhIOw1Fuews+WEtjKSqIxV4ch6MoloisQBpnH6ZxzkGa5+2lWW4i4XmZJ3w/n/h4/Fu3xr9NawJat8a/VSus4eGVfJQinkf/E4uciTIb7PjGGXB2LcV1FicwyjmMQ6fRENXY1BLl3MgryWNX9i52Zu3kj6w/2Jm1k51ZO8krLd/4F8DbCMFuq4OtIBZ7cR0oiiEuAxrlpNAo5xAtCrbQOPs7Ak/QeBico377tWqJf6tWCjYi55jCjkhFpGyBDR/Abx8da4sDzg4AO90CLS7XeFXVlM1uY0/OHnZm7XSFm13Zu044ThSABStWewy2ghhKi2Jx2Orglx9B/cw8GuUcolFOMi0Kf6JuVjI+ZSXld2C14te4Mf4tW+J/JNz4tWypS1EilUhhR+Rk8tNhy0LY9F/ncA5HhdSB9tc7bxuPbGRefXJGSu2l7M3dy+7s3ezK3uV6PtklKABvIwJ7cQzFBTE4bLFQFEN0lhcJOWkk5CbTLH8PTfJWE5F7+ISvtwQG4t+8Of4tW+DXogX+LVvi17Sp+rIROc8UdkSOV1oEfyyGTfNh55Jj41R5+UCLy5wdADa+GLx0C29VZbPb2Juzlz9z/mR39m7+zPnTGWpyk7Ab9hO+xmoEQWksRfm1cdhicdhiCc4Non52Ng1zU0jITaZ54S7qZqfgc4LO+QC8Y2Pxb94cv5Yt8G/RAr/mzfFt0EADYopUAQo7IvYy2LsCNi+E3/8HtuPGB6rbyXkWp/VwCIoyr0YpJ7cklz+z/2RPzh725Ozhz5w/+TPnTw7mHzzpmRor/lhKYykqqIXdFoPDFoNffgRxWYU0yE2hYV4KzQp+o0HudyccJwrA4ueHX5Mm+LVo7gw3zVvg16wp3hERlXm4InIWFHakZnI44MAvsOVT50jjBcf1fRIaD+2udYac2s3Mq1GwO+wkFySzN3evK9QcfWQUn6AzvSOsBGEpiaaosDb24mgcJdH4FEQSk11Eg9xUGuSl0LhgJwn5q056CQqct3n7NWuGX7OmzmDTrDm+Deqrcz6RakZhR2oOhwMOroetnzqHbsg7dGxdQCS0HgZtr4F63UCXHs6r7OJs9ubuZV/uPvbl7nOFm6TcJEocJ2jke4SPEY7dFk1xYRSOkmgctmj88sOok1NA/bw06uel0qhgJwn5PxGRl4HlrwNfHmGtXQv/pk3xa9oU3yZN8G/WDL8mTfAKCqqsQxaR80hhRzybww5Jq2HbF7D9S8g9eGydX6jzLqrWw5ztcKw+5tVZA+SX5LMvbx9JuUmuUJOUm8S+vH3k2HJO+joL3njba1NSVIuS4lo4bNE4bFGE5gVRNzebenmp1MtLo3HRVurn/UBYftZJ92WNiHBegmraBN8mTY5M6xKUiKdT2BHPU1oEfy6HHV/B9q+h8LjLFL7B0Hywsw1O44vBR3fFnCuGYZBjyyEpL4n9eftdj325+9ift5/M4hN3nHeUjxGJo6QWRYUROGy1cZTUxlIcQWy2g/j8w9TLS6NeQTqNi3ZTJzeVgOKCk+7LWqsWfo0a4dekCb5NGjtDTZMmeEdGnuvDFpFqQGFHPEPBYfjjW9jxNez+AUoLj63zD3eewWk5BBpdpIBzFsocZaQWprI/bz8H8g6Uez5Zh3tHeRuhUFqL4qII7LZaOEpq4bBFEZbnS928HOrmpxOfn07Dwp00KFxNZG46Xo4TNzbGYsGnbl18GzfCL6GR87lxE/waN8IappHkReQYhR2pnhwOSNkEf3wHO79ztsXhuPYYoXWh+WXO28Ub9tElqgoyDIOM4gwO5R/iYP5BDuYf5EDeAddzSkEKZUbZKffhY0RglEYeCTRROEqicNgiCSkIIDY3j7oF6cTlH6Ze4UEaFv9GdG46viXFJ92fJTAQv4YN8W3UCN+Ehvg1aoRvQgK+DRuqvxoRqRCFHak+Cg7D7mWwe6nz7E1+qvv62LbQ/HLnZao67cFiMafOKsxhOMgoyuBQwSGS85M5VHDIFWwO5Tuni+0nDx5wpA2NIwq7LZLionAcpZE4SqIwbJGE5/lQJz+HuILD1CnIIL7oIA2LNhOdl46frejkO7Va8Ymvi2/Dhs5hExISnIEmIQHv6Ggs+rcUkbOgsCNVV2kR7F/jbH+z+4cjvRgfd/bGJwgaXwRNB0LTSyA0zrRSq4qisiJSClJILkgmtSCV5IJkDuUfci1LKUg55d1NThZ8jHCM0khsRWGUlUTgKI3EKInEqziU6NxS6hRmEVuQSZ2CDOoX7ya+aC1RuYdPPDzCcbzr1MG3QQPn40iw8W3YEN/4ulh8fc/dByEichyFHak6ykrg0AbYuxL2LIekNWD/S2+1MW2cDYub9If6PWrUeFRFZUWkFaaRWpBKamEqKQUp5Z6zbdkV2JPlyKWmcGzFYZSVhGOURuAoiYCSMCLzvIgpyCG2MJOYgkzqFGVQ37abmMJMQvKzTnr7NgBeXvjExeFbvx4+9eofCTbOZ5/4eF12EhFTKOyIeUqL4OCvsC/RGXAOrHVvWAzOcagS+kKjvs6QExJrTq2VyO6wk1mcSVpRGumF6aQVprk9UgtTSStMI7fkxD36/pUVf7zsEdhLw7AVheIoDcdRGo5RFg62UKLyIKYwh+jCLKILs4gtyqJeyT5iCrMIz8vEy3HiIRWO8goMxCc+Hp/69fCNr+d8rud8+MTF6QyNiFQ5Cjty/uSlOgNN0mrn5alDG8FR6r5NYBQ06OkMOAl9oVbTatv2psRewuGiwxwuOkx6UToZRRmkF6WTXpjuWna48DAZxRknHbPpr7zww9sRgb00FFtxCPbSMIzSMBxHngML/QgvKCK6KIfaRdnULswmtjiFuiU7qF2UTUh+1snvbjrK29t5dia+Lj516+JTNx6fevH4xsfjU68e1ogItaERkWpFYUcqR0khpGx23iV1YC0cWAc5SeW3C46F+t2hYW9o0Atqt6iyvRcbhkFhWSGZxZlkFmeSUZThes4ozij3nFdy6tuw3VnwMcLAHkpZSQg2WzBGaSiOsjCMslCMklACi/wILyymVlEOtY6GmeJs4kqSiC7OIbwg65R3NbneyccH77g6+MTFOR916+Jb92iwqetsEKzhEETEgyjsyNmz5UPaNmcD4kMbne1u0n+HcoMxWpxhpn43Z3ubet0goqFpZ27sDju5Jblk27LJtmWTWZxJdnE2WbYssoqdj0xb5rHp4kxsf21DdBoWvJ19y9hDjoSYIIyyEIyyUBxlIRhlIVhtgUQUGEQW5xFVlEtUcQ61inOobUulTskuoopzCSvIPulo239ljYjAu04sPrFHAk2dOvjE1cGnTh284+LwrlVLI3GLSI2isCMV53BA9j5I+90ZblK3OM/eZOzG7S6po4JjIO4CiO8M8V0griP4h57zskodpeSV5JFryyW3JJccW47rOackh1ybczrblk1OSQ45thyyirPIK8nDOFHdp+GFD1YjBOwh2EuDsNkCcZQFY5QFY9hDnM+lwfgX+xBRVEZEcR6RxXlE2PKILM4lynaY2NK9RJXkEVaYQ0BRfoXf2xoejndMDN6xMc4wExuDt+s5Fp/YWLwCAs74mEREPJnCjpRnL4WsvZC+Aw7/AYd3Qvp25+OvDYiPCo519nMT1/HIo4OzcfFpztqUOcooLCukoKSA/NJ856PE+ZxXkueaPzqdV5LnfJQ6w01eSR6FZSepqYKsBGB1hGA4grCXBlBSEoCjLAijLAiHPQjDHohRFgxlQQQVehFiKyHclu96RNjyCLflE12WSlRJPhHFeQQV5p72NuzjWXx88I6OPvaIicYnJubIfAw+MdF4x8bqbiYRkb/BY8LOa6+9xosvvkhKSgrt27dnxowZdO3a1eyyqq6SAshOgqx9zmCT+Sdk7nY+ZyeB41gvuQZQBhR5WbD5BFBcK4GiyEYURzSgKKI+RSF1KPLxpaisyPkoPUThrl0UlRU5g0xpAYWlzueisiLyS/Ndy07Xgd2ZsOKPlxGExRGIoyyAsjI/SkoCnGHF7nzGEYBR5gww3iW+hBQZhJQUE1ZSQGhJAaG2AsJKCgizFRBVlkVkWQHhJQWEFOcTWJR3+sa9f+EVFIR3rVp4166NtXYtvGvVxrv2Xx7RtbGGh6vRr4hIJfGIsPPRRx8xbtw43njjDbp168b06dMZNGgQO3bsIDo62rS6soqzsBt2DMNwXS7567QDh3PZkWmH4Zy3G3YchsPt2e6wO5+PTJc5yigzypzPxz1KSwspK8qktDib0qPPxTmU2HIoLcmn1JaPzWGjBCixWCi1WLAdffhbKKlTm2IvL2xWb4otFmwYONwu9+RD4W/Ox8Hyx/13eOGDF/54Gf7g8MNh98de5kdZmR/2Mj8Mhz+GPQCOPB+dN8r88S21ElLsILikhODSQoJLiwgpOfYcWlJAhP0w4WVFhJYWElJSSGBRfoXbwJSrNTQU74gIrLVq4R0VhTUqEu+oWnhHRTqXHX1EReEVGHhuPiAREfnbLIZxqh7Cqodu3brRpUsXZs6cCYDD4aBevXrcc889TJgw4bSvz83NJSwsjJycHEJDz12bkiGLhrA3d+8521/VYMGKHxZ88DL8wPDBcPhiOHxw2H1x2H0oLTu6zBccfkem/cD1fGSZ3Q/fMiv+JRBYUkZgWTFBpcWu52PTRQSVFRNmtxFqtxFSVkRQaRGBtkL8bIVY7RW7bfuErFasYWFYIyPwDo/AGnHkERmBd2Qk1ohIZ4PfyAisUbXwjghXPzIiIlVERb+/q/2ZnZKSEtavX8+jjz7qWubl5cWAAQNYvXr1CV9js9mw2Y79VZ+bW7HO2s6ULSedoxcmLEce/GX+6DKr4Zz2wsDLACsGVsPACwMr4GWANwZW17pj896GgTfOZx/DwAewGBbshi8lhi8lDn+KjQCKjEAKHIHkGyHkOMIoNgLB8MYwrODwwTC8wfABhzeG4eNc5/DBy2HFp9TAr9SCX5kdf3spfvZS/Owl+NtL8C9zPvuVHZsPsJfgX1ZAkCOLYEcpgY4SAstsBJTZ8C8txq+0GN+S4jO+LHRS3t5YQ0KwhoXhFRbqDDChYc7nsDCs4eFYw49MR0QcmQ/HKzhYdyaJiHi4ah92Dh8+jN1uJyYmxm15TEwM27dvP+FrpkyZwtNPP13ptb25PYe69lTKnTs7bt61zrAcmzfAMCxHnqHMYaXI8CXfEUCB4U+hw58Cw8/5fORR6PCnyOHrfLb7Yje88Hc4CHGU4e2w4+2w43Nk2t8oxd9Iwdcow9dhx9cow89Rhq+9FB97GT72UnzKSvEpK8FqLz27MycVYbHgFRSEV3AwXsFBeAUFYQ0OwSskBGtIMF7BIXiFBGMNCcUaGoJXSKhzeWgY1tAQrKGhWAID1eZFREROqNqHnb/j0UcfZdy4ca753Nxc6tWrd87fJ/+nMHYdPrf79KGUMEoJ40w6rDt3LP7+ePn7O58DArAE+OMVEIhXQIDzERiAJTDw2LLAQGeQCTry7JoPwiso+MiyAJ1dERGRSlPtw06tWrWwWq2kpqa6LU9NTSU29sTjKPn5+eHnV/kDSAbWqkNJ/pHLZcefdbBYnJevvLycyy0W55f9kYfFYgGr1bnMagUvCxYvKxZvb/D2dvZua/XC4u2DxXp0udU57+2NxefIs68PeHvj5euLxdcXi48vFl+fI8++WPycz16+vlj8/bH4+uF1ZJnF3x8vPz/ncj+/Y9MKJSIiUs1U+7Dj6+tLp06dWLp0KUOHDgWcDZSXLl3K2LFjTa2t0WeLTH1/ERER8YCwAzBu3DhGjRpF586d6dq1K9OnT6egoIDRo0ebXZqIiIiYzCPCznXXXUd6ejoTJ04kJSWFDh06sHjx4nKNlkVERKTm8Yh+ds5WZfWzIyIiIpWnot/fam0qIiIiHk1hR0RERDyawo6IiIh4NIUdERER8WgKOyIiIuLRFHZERETEoynsiIiIiEdT2BERERGPprAjIiIiHk1hR0RERDyawo6IiIh4NI8YCPRsHR0eLDc31+RKREREpKKOfm+fbphPhR0gLy8PgHr16plciYiIiJypvLw8wsLCTrpeo54DDoeDQ4cOERISgsViOWf7zc3NpV69euzfv1+jqVcifc7njz7r80Of8/mhz/n8qMzP2TAM8vLyiIuLw8vr5C1zdGYH8PLyIj4+vtL2Hxoaql+k80Cf8/mjz/r80Od8fuhzPj8q63M+1Rmdo9RAWURERDyawo6IiIh4NIWdSuTn58ekSZPw8/MzuxSPps/5/NFnfX7ocz4/9DmfH1Xhc1YDZREREfFoOrMjIiIiHk1hR0RERDyawo6IiIh4NIUdERER8WgKO5Xotddeo2HDhvj7+9OtWzd++eUXs0vyOCtWrGDIkCHExcVhsVj47LPPzC7J40yZMoUuXboQEhJCdHQ0Q4cOZceOHWaX5XFmzZpFu3btXB2v9ejRg2+++cbssjze888/j8Vi4f777ze7FI/z1FNPYbFY3B4tWrQwpRaFnUry0UcfMW7cOCZNmsSvv/5K+/btGTRoEGlpaWaX5lEKCgpo3749r732mtmleKzly5czZswYfv75Z5YsWUJpaSkDBw6koKDA7NI8Snx8PM8//zzr169n3bp1XHzxxVx55ZVs3brV7NI81tq1a5k9ezbt2rUzuxSP1bp1a5KTk12Pn376yZQ6dOt5JenWrRtdunRh5syZgHP8rXr16nHPPfcwYcIEk6vzTBaLhUWLFjF06FCzS/Fo6enpREdHs3z5ci688EKzy/FokZGRvPjii9x6661ml+Jx8vPzueCCC3j99dd57rnn6NChA9OnTze7LI/y1FNP8dlnn7Fx40azS9GZncpQUlLC+vXrGTBggGuZl5cXAwYMYPXq1SZWJnL2cnJyAOcXsVQOu93O/PnzKSgooEePHmaX45HGjBnD5Zdf7vb/tJx7O3fuJC4ujkaNGjFy5EiSkpJMqUMDgVaCw4cPY7fbiYmJcVseExPD9u3bTapK5Ow5HA7uv/9+evXqRZs2bcwux+Ns3ryZHj16UFxcTHBwMIsWLaJVq1Zml+Vx5s+fz6+//sratWvNLsWjdevWjblz59K8eXOSk5N5+umn6dOnD1u2bCEkJOS81qKwIyIVNmbMGLZs2WLadXdP17x5czZu3EhOTg4LFy5k1KhRLF++XIHnHNq/fz/33XcfS5Yswd/f3+xyPNrgwYNd0+3ataNbt240aNCABQsWnPdLswo7laBWrVpYrVZSU1PdlqemphIbG2tSVSJnZ+zYsXz55ZesWLGC+Ph4s8vxSL6+vjRp0gSATp06sXbtWv79738ze/ZskyvzHOvXryctLY0LLrjAtcxut7NixQpmzpyJzWbDarWaWKHnCg8Pp1mzZuzateu8v7fa7FQCX19fOnXqxNKlS13LHA4HS5cu1fV3qXYMw2Ds2LEsWrSIH374gYSEBLNLqjEcDgc2m83sMjxK//792bx5Mxs3bnQ9OnfuzMiRI9m4caOCTiXKz89n9+7d1KlT57y/t87sVJJx48YxatQoOnfuTNeuXZk+fToFBQWMHj3a7NI8Sn5+vttfCXv27GHjxo1ERkZSv359EyvzHGPGjOHDDz/k888/JyQkhJSUFADCwsIICAgwuTrP8eijjzJ48GDq169PXl4eH374IT/++CPffvut2aV5lJCQkHLtzYKCgoiKilI7tHPswQcfZMiQITRo0IBDhw4xadIkrFYr119//XmvRWGnklx33XWkp6czceJEUlJS6NChA4sXLy7XaFnOzrp167joootc8+PGjQNg1KhRzJ0716SqPMusWbMA6Nevn9vyOXPmcMstt5z/gjxUWloaN998M8nJyYSFhdGuXTu+/fZbLrnkErNLE/lbDhw4wPXXX09GRga1a9emd+/e/Pzzz9SuXfu816J+dkRERMSjqc2OiIiIeDSFHREREfFoCjsiIiLi0RR2RERExKMp7IiIiIhHU9gRERERj6awIyIiIh5NYUdEREQ8msKOiIiIeDSFHREREfFoCjsi4nHS09OJjY1l8uTJrmWJiYn4+vqydOlSEysTETNobCwR8Uhff/01Q4cOJTExkebNm9OhQweuvPJKXn75ZbNLE5HzTGFHRDzWmDFj+P777+ncuTObN29m7dq1+Pn5mV2WiJxnCjsi4rGKiopo06YN+/fvZ/369bRt29bskkTEBGqzIyIea/fu3Rw6dAiHw8HevXvNLkdETKIzOyLikUpKSujatSsdOnSgefPmTJ8+nc2bNxMdHW12aSJyninsiIhHeuihh1i4cCGbNm0iODiYvn37EhYWxpdffml2aSJynukyloh4nB9//JHp06fz/vvvExoaipeXF++//z4rV65k1qxZZpcnIueZzuyIiIiIR9OZHREREfFoCjsiIiLi0RR2RERExKMp7IiIiIhHU9gRERERj6awIyIiIh5NYUdEREQ8msKOiIiIeDSFHREREfFoCjsiIiLi0RR2RERExKMp7IiIiIhH+3+Orxi+pdHWvAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "# 定义s(x)\n",
    "def s(x):\n",
    "    return x ** 2\n",
    "\n",
    "\n",
    "# 定义s_n(x)\n",
    "def s_n(x, n):\n",
    "    result = 0\n",
    "    for k in range(1, n + 1):\n",
    "        result += (x ** 2) / k\n",
    "    return result\n",
    "\n",
    "\n",
    "# 生成x轴数据\n",
    "x = np.linspace(0, 5, 100)\n",
    "\n",
    "# 选择一个较大的n值\n",
    "n = 50\n",
    "epsilon = 0.5\n",
    "\n",
    "# 计算s(x)、s_n(x)、s(x)+epsilon和s(x)-epsilon\n",
    "y_s = s(x)\n",
    "y_s_n = s_n(x, n)\n",
    "y_s_plus_epsilon = s(x) + epsilon\n",
    "y_s_minus_epsilon = s(x) - epsilon\n",
    "\n",
    "# 绘制图像\n",
    "plt.plot(x, y_s, label='s(x)')\n",
    "plt.plot(x, y_s_n, label='s_n(x)')\n",
    "plt.plot(x, y_s_plus_epsilon, label='s(x)+epsilon')\n",
    "plt.plot(x, y_s_minus_epsilon, label='s(x)-epsilon')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.title('Uniform Convergence Illustration')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "# 计算部分和函数\n",
    "def s_n(x, n):\n",
    "    result = 0\n",
    "    for k in 1, n + 1:\n",
    "        result += (x ** k) / (k ** 2)\n",
    "    return result\n",
    "\n",
    "\n",
    "# 生成x轴数据\n",
    "x = np.linspace(0, 1, 100)\n",
    "\n",
    "# 选择一个较大的n值\n",
    "n = 50\n",
    "epsilon = 0.1\n",
    "\n",
    "# 计算s(x)（这里用s_n近似，n取较大值）\n",
    "s_x_approx = s_n(x, 100)\n",
    "s_n_x = s_n(x, n)\n",
    "s_x_plus_epsilon = s_x_approx + epsilon\n",
    "s_x_minus_epsilon = s_x_approx - epsilon\n",
    "\n",
    "# 绘制图像\n",
    "plt.plot(x, s_x_approx, label='s(x) (approx)')\n",
    "plt.plot(x, s_n_x, label='s_n(x)')\n",
    "plt.plot(x, s_x_plus_epsilon, label='s(x)+epsilon')\n",
    "plt.plot(x, s_x_minus_epsilon, label='s(x)-epsilon')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.title('Uniform Convergence of Function Series')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "例2研究级数\n",
    "x++(-+2 *+)+…+(-+n x+n-)+.\n",
    "在区间[0,+∞)上的一致收敛性."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The series is not uniformly convergent for epsilon = 0.01\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "\n",
    "# 定义级数的部分和\n",
    "def s_n(x, n):\n",
    "    return 1 / (x + n)\n",
    "\n",
    "\n",
    "# 检查一致收敛性\n",
    "def check_uniform_convergence(epsilon):\n",
    "    N = int(1 / epsilon) + 1\n",
    "    x_vals = np.linspace(0, 100, 100)  # 取[0, 100]上的一些x值来检查\n",
    "    for x in x_vals:\n",
    "        for n in range(1, N + 1):\n",
    "            diff = np.abs(0 - s_n(x, n))\n",
    "            if diff >= epsilon:\n",
    "                return False\n",
    "    return True\n",
    "\n",
    "\n",
    "epsilon = 0.01\n",
    "is_uniformly_convergent = check_uniform_convergence(epsilon)\n",
    "if is_uniformly_convergent:\n",
    "    print(f\"The series is uniformly convergent for epsilon = {epsilon}\")\n",
    "else:\n",
    "    print(f\"The series is not uniformly convergent for epsilon = {epsilon}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "例3研究例1中的级数x+(x’-x)+…·+(x”-x\"-)+…在区间(0,1)内的一致收敛性."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jR+4YgurZsycmkynHEJter+enn36iWbNmxdIreOzYMTIyMmjRokWRtyWKj/TcCKtUvXp1FixYQO/evalTp06OFYp37tzJ0qVLs9dBCQkJYcCAAcyZM4eEhATatGnD3r17mTt3Lt27d6ddu3YFjqN3796MGjUqe+2N/y64N2nSJDZv3kyzZs149dVXqVu3LnFxcYSHh7Nhw4Zc3wT/a8KECXTr1o2WLVvy4osvEh8fz8yZM6lfv36OhKdNmza8/vrrTJw4kYMHD9KpUydsbW05ffo0S5cuZdq0afTs2TNfn9/777/Pb7/9Rq9evXjppZdo1KgRcXFxrFy5ktmzZxMSEsLzzz/PkiVLeOONN9i8eTMtW7bEZDJx4sQJlixZwrp162jcuHGu97e1teXzzz/nxRdfpE2bNvTt25fo6GimTZtGYGAgQ4cOzVe8WRo1agTARx99RJ8+fbC1taVr16533a4hNw/yvRs3bhxbt27l8ccfJyAggJiYGL755hsqV66cvarug3zdCiPuTp064ePjQ8uWLfH29ub48ePMnDmTxx9/PM/F+oWlW7dujB8/nn/++YdOnTpln2/WrBm9evVi5MiRxMTEUKNGDebOncuFCxf43//+l+MeY8aMYezYsWzevJm2bdves7158+Zx8eJF0tLSANi6dSuffvopYPm+3N5juH79epycnOjYsWMhfbbCKqgyR0uIPDp16pTy6quvKoGBgYqdnZ3i6uqqtGzZUpkxY4aSkZGRfV1mZqYyduxYpWrVqoqtra3i7++vjBw5Msc1imKZIv3444/f0U6bNm2UNm3a3HH+9OnTCqAAyvbt23ONMTo6Whk4cKDi7++v2NraKj4+Pkr79u2VOXPmZF+TNRV86dKlud5j0aJFSlBQkGJvb6/Ur19fWblypfL0008rQUFBd1w7Z84cpVGjRoqjo6Pi6uqqNGjQQPnggw+Uq1evFujzvHnzpjJo0CDFz89PsbOzUypXrqwMGDAgx1Rjg8GgfP7550q9evUUe3t7xdPTU2nUqJEyduxYJTExMdfP6XaLFy9WwsLCFHt7e6VcuXLKs88+q1y5ciXHNfmZCq4oijJ+/HjFz89P0Wq1OaaFA8rAgQPvuD4gIEAZMGBAjnN5+d7lZuPGjUq3bt2USpUqKXZ2dkqlSpWUvn37KqdOncpxXV6/bneLOeu5/05lzkvc3333nfLwww8r5cuXV+zt7ZXq1asr77///n2/X3ebCu7s7HzHtaNHj1by+jYSHBysvPzyy3ecT09PV9577z3Fx8dHsbe3V5o0aaKsXbv2juveffddRaPRKMePH79vW23atMn+f/vfj82bN+e4tlmzZspzzz2Xp89BlBwaRclndaEQoliEhoZSsWJFWTlVlArz5s1j4MCBXLp0qUBbbDRt2pSAgACWLl1aaDEdPHiQhg0bEh4eXiz1PaL4SM2NECrLzMzEaDTmOLdlyxYiIyPv2/0uREnx7LPPUqVKFWbNmpXv1yYlJREZGcm4ceMKNaZJkybRs2dPSWxKIem5EUJlFy5coEOHDjz33HNUqlSJEydOMHv2bNzd3Tly5Ajly5dXO0QhhChRpKBYCJV5enrSqFEjfvjhB27cuIGzszOPP/44kyZNksRGCCEKQHpuhBBCCFGqSM2NEEIIIUoVSW6EEEIIUaqUuZobs9nM1atXcXV1lY3ShBBCiBJCURSSk5OpVKnSHQuq/leZS26uXr1qlRv9CSGEEOL+Ll++TOXKle95TZlLbrKWHb98+XKOjdqEEEIIYb2SkpLw9/fP0/YhZS65yRqKcnNzk+RGCCGEKGHyUlIiBcVCCCGEKFUkuRFCCCFEqSLJjRBCCCFKlTJXc5NXJpOJzMxMtcMoU2xtbdHpdGqHIYQQooST5OY/FEXh+vXrJCQkqB1KmeTh4YGPj4+sQSSEEKLAJLn5j6zExsvLCycnJ3mTLSaKopCWlkZMTAwAvr6+KkckhBCipJLk5jYmkyk7sZHdmIufo6MjADExMXh5eckQlRBCiAKRguLbZNXYODk5qRxJ2ZX1tZd6JyGEEAUlyU0uZChKPfK1F0II8aBUTW62bt1K165dqVSpEhqNhhUrVtz3NVu2bKFhw4bY29tTo0YNfv755yKPUwghhBAlh6rJTWpqKiEhIcyaNStP158/f57HH3+cdu3acfDgQd555x1eeeUV1q1bV8SRCiGEEKKkUDW5eeyxx/j000956qmn8nT97NmzqVq1Kl9//TV16tRh0KBB9OzZkylTphRxpCI3R48e5emnnyYwMBCNRsPUqVPVDkkIIYQoWTU3u3btokOHDjnOde7cmV27dqkUUdmWlpZGtWrVmDRpEj4+PmqHI4QQwgocuBjPzRS9qjGUqKng169fx9vbO8c5b29vkpKSSE9Pz55KfDu9Xo9e/+8XOSkpqcjjVEPbtm0JDg7GwcGBH374ATs7O9544w3GjBlTZG02adKEJk2aADBixIgia0cIIYT1M5sV5mw+gduWD/nTrwejXnsOrVadSSIlquemICZOnIi7u3v2h7+/f75erygKaQajKh+KouQr1rlz5+Ls7MyePXv44osvGDduHOvXr7/r9fPnz8fFxeWeH9u2bctXDEIIIcqemyl6Xvx5H5FbZ/Fz4AnMxs/Q6zNUi6dE9dz4+PgQHR2d41x0dDRubm659toAjBw5kmHDhmU/TkpKyleCk55pou4odQqWj43rjJNd3r9FwcHBjB49GoCaNWsyc+ZMNm7cSMeOHXO9/sknn6RZs2b3vKefn1/eAxZCCFHm7D53kyGLIohOyuA9j82cTdRx1dv3ru/LxaFEJTfNmzdnzZo1Oc6tX7+e5s2b3/U19vb22NvbF3VoViE4ODjHY19f3+ztDHLj6uqKq6trUYclhBCiFDKZFWZtPsPUDacwK9Db8xQpCXqm/W5LWqVUeFa92FRNblJSUjhz5kz24/Pnz3Pw4EHKlStHlSpVGDlyJFFRUfzyyy8AvPHGG8ycOZMPPviAl156iU2bNrFkyRJWr15dZDE62uo4Nq5zkd3/fm3nh62tbY7HGo0Gs9l81+vnz5/P66+/fs97/vXXX7Ru3TpfcQghhCjdYpIzGLr4IDvO3ASgR0M/xqbNZvRVO0DBMbCaqvGpmtzs37+fdu3aZT/OGj4aMGAAP//8M9euXePSpUvZz1etWpXVq1czdOhQpk2bRuXKlfnhhx/o3Lnokg+NRpOvoaGSRIalhBBC5NeOM7EMWXSQ2BQ9jrY6xnWrRy+/ePbP3UO5hAoAlKteR9UYVX3Xbtu27T2LZnNbfbht27ZEREQUYVRlx4MOSxkMBo4dO5Z9HBUVxcGDB3FxcaFGjRqFFaYQQggrYDSZmb7xNDM2n0FRoLa3KzP7hVHT2xWWj2enowM+8ZZr7QIDVY21dHZJiGJx9epVwsLCsh9/9dVXfPXVV7Rp04YtW7aoF5gQQohCdT0xg8GLIth7Pg6APk38Gd21Ho52Oki8AkeWsdOnPC/GWTos7KoEqBmuJDelRW7JRF726noQgYGB+Z6uLoQQomTZcjKGYUsiiUs14GynY0KPBnQLva1kYc9s4jFz3NYOnwQTAHYBVVSK1kKSGyGEEELcIdNk5uu/TzH7n7MA1PV1Y2a/MKpVdPn3ooxE2P8zux0d8EgBOyNgY4NtpUrqBH2LJDdCCCGEyCEqIZ3BCyM4cNFSRPP8QwF89HgdHP47izf8FzAks9OrKr5XMwGw8/NDY6NueiHJjRBCCCGyrT8WzXtLI0lMz8TV3obPewbTpYHvnRcaDbD7WxRgp6MjDeItyY2tykNSIMmNEEIIIQCD0czna0/wv+3nAQiu7M7Mvg2pUt4p9xccWQZJUZx19yHGmIJfgg4wYxcQWGwx340kN0IIIUQZdzkujUELwom8kgjASy2rMuKxIOxs7rIFpdkMO6YBsLNmK7i5l6BUdyAWuyrScyOEEEIIFa09co33fztEcoYRNwcbvuoVQqd6Pvd+0Zn1cOM42Lmy89bi+JUSLDuAqz1TCiS5EUIIIcqkjEwTE9ccZ+6uiwCEVfFgRt8wKnveZRjqdtunAqBv1J/9N/4GRcEp2tLrIz03QgghhCh2F2JTGbggnKNXkwB4vU013utUG1vdXYahbnd5L1zaCVpbDlRvjv76n9Q0VQB9NOh02FrBtj2S3AghhBBlyMrIq3y4/DApeiOeTrZMfiaUdkFeeb/BrVobQnqzK+EUAO00QUA0tn5+aP6zibMaJLkRQgghyoCMTBNj/zzGwr2WDambBpZjWt9QfN0d836TG6fgxGrLcYvB7Ng1EoBQgzdgHUNSAHnofxIid8uXL6dx48Z4eHjg7OxMaGgo8+bNUzssIYQQ/3EmJoXus3awcO8lNBp4+5EaLHi1Wf4SG4Cd0wEFanfhupM7p+NPo0FDQJI9AHYB6u4plUV6bkSBlStXjo8++oigoCDs7OxYtWoVL774Il5eXnTu3Fnt8IQQQgDLw6/w8YojpBlMVHCxY0rvUFrXrJj/GyVdg0OLLcct32FH1A4AGlRsgPZANGAdM6VAkptSo23btgQHB+Pg4MAPP/yAnZ0db7zxBmPGjCnSNm83ZMgQ5s6dy/bt2yW5EUIIlaUZjIz64yi/HbgCQIvq5ZnaOxQvN4eC3XD3N2AygP9DUKUZ2zYvBKC1X2sMl9YBYCvDUiWEooAhVZ2PfO64PXfuXJydndmzZw9ffPEF48aNY/369Xe9fv78+bi4uNzzY9u2bXn8Mils3LiRkydP8vDDD+crbiGEEIXrVHQy3Wbu4LcDV9BqYGiHWsx7uVnBE5v0eNj/o+W41VAyTZnsvrYbgNaVWmG4ZKnjkWGpkiIzDSaotLvph1fBzjnPlwcHBzN69GgAatasycyZM9m4cSMdO3bM9fonn3ySZs2a3fOefveZ0peYmIifnx96vR6dTsc333xz1/aEEEIULUVRWLL/MqNXHiUj04yXqz3T+oTRvHr5B7vxvh/AkAJe9aBWZw5G7yc1M5VyDuWoaa7I2bQ00Gqxs4Jp4CDJTakSHByc47Gvry8xMTF3vd7V1RVXV9cHatPV1ZWDBw+SkpLCxo0bGTZsGNWqVbtjyEoIIUTRStEb+fj3w6w4eBWAh2tVZPIzIVRwsX+wGxvSYPe3luNWQ0GjYdsVS69+K79WGC9fBsC2UiU0dnYP1lYhkeTmfmydLD0oarWdn8v/s7aARqPBbDbf9fr58+fz+uuv3/Oef/31F61bt77r81qtlho1agAQGhrK8ePHmThxoiQ3QghRjI5eTeTtBRGci01Fp9XwbqdavPFwdbRazYPfPGIepN0Ez0Co9xQA26L+TW4M4dY1JAWS3NyfRpOvoaGSpDCGpf7LbDaj1+sfJCwhhBB5pCgKv+65xPhVxzAYzfi6OzC9bxhNAssVTgOmTNg5w3LcYjDobLieep0zCWfQarS0qNQC/YqfAOuZKQWS3JRpDzosNXHiRBo3bkz16tXR6/WsWbOGefPm8e233xZilEIIIXKTlJHJyGWHWX34GgDtg7z4qlcIns6FODR0eCkkXgZnLwh9Fvi31ya4QjDu9u5cuWjZm8paZkqBJDfiAaSmpvLWW29x5coVHB0dCQoK4tdff6V3795qhyaEEKXaoSsJDFoQwaW4NGy0GkY8FsTLraqi0RTCMFQWszl7g0yavwW2lplW269sB6B1ZUvJguGSJbmRYSlR6LZs2XLHuRUrVhRpm59++imffvppkbYhhBDiX4qi8NOOC0z86ziZJgU/D0dm9gsjrIpn4Td2cg3EngR7d2j8MkCOKeCt/FqhKAqZF6XmRgghhBAFkJBm4P3fDrH+mGU14M71vPni6RDcnYpgo0pFge2TLcdNXwEHNwDCY8JJM6ZR3qE8QeWCMN28iTk1FbRabCtXLvw4CkiSGyGEEMLKhV+K5+0FEUQlpGOn0/LR43Xo3zygcIehbnduC0QdABtHaPZm9unbp4BrNVoybi3eZ+vri9ZKpoGDJDdCCCGE1TKbFb7fdo4v153EaFYIKO/EzL4NaVDZvWgb3vqV5d9GA8Dl332otkdZ6m1aVW4FgCF7SMp6iolBkhshhBDCKsWlGnh3yUE2n7wBwBPBvkzs0QBXhyIYhrrdpd1wcTtobS3Tv2+5mnKVs4ln0Wl0NPdtDoDh4gXAumZKgSQ3QgghhNXZez6OwQsjuJ6UgZ2NljFd69G3qX/RDUPdLqvXJrQfuP+71llWr01IxRDc7S09R5lZe0pVsZ5iYpDkRgghhLAaZrPCt/+cZfL6U5jMCtUqOjOrX0Pq+LoVTwBXI+DMetDoLFst3OafK/8A/04Bh9uGpQIluRFCCCHEf8Sm6Bm6+CDbTscC8FSYH592r4+zfTG+VW/72vJvg55Qrmr26XRjOnuu7QGgbeW2gGVauuH8ecC6poGDJDdCCCGE6naejWXIooPcSNbjYKtlXLf69GpUuXiGobLEHIfjf1qOWw3L8dTuq7vRm/T4ufhR3aM6AMaYG5jT0kCnw87fv/jizANJboQQQgiVmMwKMzadZvrG05gVqOnlwjfPNqSmd8G3ximwbbfWtanzJHgF5Xgqa0jq4coPZydchvPnALDz97ea3cCzSHIjhBBCqCAmKYMhiw6y69xNAJ5pXJmxT9bH0U5X/MHcPAtHfrMcP/xejqfMipmtV7YC/w5JAejP3UpuqlUrlhDzQ6t2AKLk+vnnn9FoNDk+HBwc1A5LCCGs3tZTN3hs2jZ2nbuJk52OKb1D+KJniDqJDcD2KaCYoWYn8A3J8dTxuOPcSL+Bk40TjX0aZ583nLtVb1M1sDgjzRPpuREPxM3NjZMnT2Y/LtbxYSGEKGGMJjNTNpzimy1nURQI8nFl1rMNqV7RRb2g4i9C5ELL8cPv3/H0P5ctQ1ItKrXATvfv8JPhVs+NvRX23EhyU0q0bduW4OBgHBwc+OGHH7Czs+ONN95gzJgxRdquRqPBx8enSNsQQojS4FpiOoMXRrDvQjwA/ZpVYdQTdXGwVam3Jsv2KWA2QrV24N/0jqdvr7e5nf5CVs+NJDcljqIopBvTVWnb0cYxXz0hc+fOZdiwYezZs4ddu3bxwgsv0LJlSzp27Jjr9fPnz+f111+/5z3/+usvWrdufdfnU1JSCAgIwGw207BhQyZMmEC9evXyHLMQQpQFm05E8+6SSOLTMnGxt2FijwZ0DamkdliQeAUifrUctxl+x9MxaTEcu3kMDZoc69uY09IwXr0GyLBUiZRuTKfZgmaqtL2n3x6cbJ3yfH1wcDCjR48GoGbNmsycOZONGzfeNbl58sknadbs3p+bn5/fXZ+rXbs2P/74I8HBwSQmJvLVV1/RokULjh49SmUr2h1WCCHUkmky8+W6k8zZahnCqe/nxsy+DQms4KxyZLdsnwrmTAhsDQHN73g6q5C4QYUGVHCskH3ecOECADpPT2w8PYsj0nyR5KYUCQ4OzvHY19eXmJiYu17v6uqKq2vBpxs2b96c5s3//c/QokUL6tSpw3fffcf48eMLfF8hhCgNLsel8fbCCA5eTgDghRaBjOwShL2NysNQWZKuQvhcy3EuvTbwb73NHUNSWcXEVlhvA5Lc3JejjSN7+u1Rre38sLXNuZmaRqPBbDbf9frCGJb6b/thYWGcOXMmT9cLIURpte7odd5fGklShhE3Bxu+6BnCo/WtrD5xx3QwGaBKCwhsdcfTGcYMdl/bDUBb/7Y5nvu3mLjqf19mFSS5uQ+NRpOvoaGS5EGHpf7LZDJx+PBhunTp8qChCSFEiaQ3mpj01wl+2nEBgBB/D2b2DcO/nJW9jyRHw4GfLMdtPoBc6jv3Xt9LhikDH2cfannWyvGcPmsBPyssJgZJbsq0Bx2WGjduHA899BA1atQgISGBL7/8kosXL/LKK68UYpRCCFEyXLyZyqAFERyOSgTg1dZVeb9zEHY2Vrik3M7pYMyAyk2hWttcL8kakmpTuc0dk1sM5y8A1llMDJLciAcQHx/Pq6++yvXr1/H09KRRo0bs3LmTunXrqh2aEEIUq9WHrjFi2SGS9UY8nGz5ulcI7et4qx1W7lJuwP4fLcdthufaa6Moyl2ngCtmc/aGmda4xg1IclNqbNmy5Y5zK1asKNI2p0yZwpQpU4q0DSGEsGYZmSY+XX2MX3dfAqBxgCfT+4ZRySN/NZPFasdUyEyDSg2hRvtcLzkWd4zotGgcbRxp6pNz7ZvMq9dQ9Ho0trbY5qN0oThJciOEEEIUwLkbKQxcEMHxa0kAvNW2OsM61sJGZ4XDUFlSYmDf/yzH7T7MtdcGYNOlTQC0rNQSB5uc2+pkb5gZGIDGxjrTCOuMSgghhLBiKyKi+PD3w6QZTJR3tmNy71Da1Kqodlj3t2MaGNPBrzHU6HDXy7KSm0eqPHLHc1kzpay1mBgkuRFCCCHyLN1gYszKoyzefxmAZlXLMb1vGN5uJWDT4OTo23ptRt611+Zy0mXOJJxBp9HdUW8DoD+fte2CdU4DB0luhBBCiDw5HZ3MwAXhnIpOQaOBtx+pyZD2NdFpS8iGwTumWnptKjeB6rnX2gBsumzptWns3Rh3e/c7ns/aDdxa17gBSW6EEEKIe1IUhaUHrjDqjyNkZJqp6GrPtN6htKhR4f4vthbJ1/+dIdX27r028O+QVLsq7XJ9PnuNGyudKQWS3AghhBB3lao38smKIyyPiAKgVY0KTOkdSkVXe5Ujy6ftUy3r2vg3g+p31tFkicuI4+CNgwC0878zuTElJWG6EQvIsJQQQghR4hy/lsTABeGcu5GKVgPDOtbirbY10JaUYagsSdfy3Gvzz+V/MCtm6pSrQyWXO3ctz1rfxqZiRXQuLkUSbmGQ5EYIIYS4jaIoLNx7mTF/HsVgNOPj5sD0vmE0rVpO7dAKZvsUMOnB/6G7rkacJaveJrdeG7itmNiKh6RAkhshhBAiW3JGJh/+foQ/I68C0LZ2RSY/E0o5ZzuVIyugxCv/7iF1jxlSAGmZaey6ugvIfQo4/FtMbGfFxcQgyY0QQggBwJGoRAYtCOfCzTR0Wg0fdK7Nq62rlbxhqNtt/dKy83dg6/v22uy6ugu9SY+fi98dG2VmyVrAz96K17gBsOJlFIW1O3r0KE8//TSBgYFoNBqmTp2a63WzZs0iMDAQBwcHmjVrxt69e4s3UCGEuAdFUZi78wI9vtnJhZtp+Hk4suT15rzepnrJTmzizkPEr5bjdh/d9/Lbh6T+u1FmFv25kjEsJcmNKLC0tDSqVavGpEmT8PHxyfWaxYsXM2zYMEaPHk14eDghISF07tyZmJiYYo5WCCHulJieyZu/hjN65VEMJjMd6nizenArGgV4qh3ag/vnCzAbLWvaBDS/56VGszF7o8y7DUkpmZkYLln20LK30t3As0hyU0q0bduWwYMH88EHH1CuXDl8fHwYM2ZMkbbZpEkTvvzyS/r06YO9fe7TIidPnsyrr77Kiy++SN26dZk9ezZOTk78+OOPRRqbEELcz8HLCTw+fRtrj17HVqdh1BN1+b5/IzycSmh9ze1iT8OhRZbjR+7faxMRE0GiPhF3e3fCvMJyvcZw5QpkZqJxcMDG17cwoy10qic3+R2ymDp1KrVr18bR0RF/f3+GDh1KRkZGkcWnKArmtDRVPhRFyVesc+fOxdnZmT179vDFF18wbtw41q9ff9fr58+fj4uLyz0/tm3bVuCvncFg4MCBA3To8O/+JVqtlg4dOrBr164C31cIIR6Eoij8sO0cvWbv5Ep8Ov7lHPntjRa81KrqXYdjSpwtE0ExQ+3Hwa/RfS/feGkjAG0qt8FGm3s5ruH8BcCyvo1Gq3r6cE+qFhRnDVnMnj2bZs2aMXXqVDp37szJkyfx8vK64/oFCxYwYsQIfvzxR1q0aMGpU6d44YUX0Gg0TJ48uUhiVNLTOdnw/j8YRaF2+AE0Tk55vj44OJjRo0cDULNmTWbOnMnGjRvp2LFjrtc/+eSTNGvW7J739HuA7exjY2MxmUx4e3vnOO/t7c2JEycKfF8hhCiohDQD7y2NZMNxy9B4lwY+THo6GDcHW5UjK0TRR+HIcstxuw/ve7lZMbPh4gYA2le5+7YM+rNnAOsfkgKVk5vbhywAZs+ezerVq/nxxx8ZMWLEHdfv3LmTli1b0q9fPwACAwPp27cve/bsKda4rVVwcHCOx76+vvesbXF1dcXV1bWowxJCCKtw4GIcby+I4GpiBnY2Wj55oi7PNatSenprsmyeAChQ7ynwqX/fy4/EHiE6LRonGydaVGpx1+sMZ24lNzVrFlakRUa15CZryGLkyJHZ5+43ZNGiRQt+/fVX9u7dS9OmTTl37hxr1qzh+eefv2s7er0evV6f/TgpKSlfcWocHakdfiBfryksGkfHfF1va5vzLw+NRoPZbL7r9fPnz+f111+/5z3/+usvWrduna84slSoUAGdTkd0dHSO89HR0XctQBZCiMJmNit8t/UcX/19EpNZoWoFZ2b0DaO+352bQpZ4VyPgxCrQaC2rEedBVq/Nw5UfxsHm7rubZ5w+DUhyc08FGbLo168fsbGxtGrVCkVRMBqNvPHGG3z44d273SZOnMjYsWMLHKdGo8nX0FBJUtTDUnZ2djRq1IiNGzfSvXt3AMxmMxs3bmTQoEEFvq8QQuTVzRQ9w5ZE8s+pGwB0C63EZ081wMW+lC7ztnGc5d8Gz0DF2ve9XFEU1l+01GZ2COhw9+tMJgxnb61xU6PGg8dZxErUd3fLli1MmDCBb775hmbNmnHmzBmGDBnC+PHj+eSTT3J9zciRIxk2bFj246SkJPz9/YsrZKv2oMNSBoOBY8eOZR9HRUVx8OBBXFxcqHHrh3/YsGEMGDCAxo0b07RpU6ZOnUpqamr2UKQQQhSVPeduMnhRBNFJeuxttIzrVo9nGvuXvmGoLOe3wdlNoLW1rEacByfjT3Il5Qr2Onta+929lz7z8mUUvR6NvT22JeA9VLXkpiBDFp988gnPP/88r7zyCgANGjQgNTWV1157jY8++ghtLtXb9vb2d52mLB7M1atXCQv7d8rgV199xVdffUWbNm3YsmULAL179+bGjRuMGjWK69evExoaytq1a+/osRNCiMJiMit8s/kMUzacwqxADS8XZvYLI8jHTe3Qio6i/Ntr02gAeAbm6WV/X/gbgJaVWuJke/dRiuwhqerV0eh0DxRqcVAtuSnIkEVaWtodCYzu1hc5v9OmS5usZOJ2K1asKNI2AwMD8/R1HzRokAxDCSGKRUxyBsMWR7L9TCwATzeszPju9XCyK1EDFfl3ah1c2Qs2jvDw+3l+2YZLlnqbew1JQckqJgaVh6XuN2TRv39//Pz8mDhxIgBdu3Zl8uTJhIWFZQ9LffLJJ3Tt2jU7yRFCCFE27TgTy5BFB4lN0eNoq2N89/r0bFRZ7bCKntkMm8Zbjpu9Dq55m7BxNuEs5xPPY6O1oY1/m3teq88uJrb+ehtQObm535DFpUuXcvTUfPzxx2g0Gj7++GOioqKoWLEiXbt25bPPPlPrUxBCCKEyo8nM9I2nmbH5DIoCtb1dmfVsGDW8yshSF0eXQ/QRsHeHlkPy/LKsQuLmvs1xs7v3kJ2+BM2UAisoKL7XkMV/h1psbGwYPXp09kJ1QgghyrbopAzeXhjB3vNxAPRt6s/orvVwsC0jvfmmTNh86w/8lm+DU7k8vzRrCnjHgNwXes2iGAzob61OLMmNEEIIUYS2nIxh2JJI4lINONvpmNCjAd1CC758RYkU8SvEnQPnitDszTy/7HLSZU7Gn0Sn0dHOv909rzVcvAhGI1pnZ6vfUyqLJDe5KOvFyWqSr70Q4n4yTWa+/vsUs/85C0BdXzdmPduQqhWcVY6smBnS4J/PLcet3wV7lzy/dP0ly5BUY5/GeDh43PPa7CGpGjVKzDR6SW5uk7XCb1paGo75XB1YFI60tDTgztWWhRAC4GpCOm8vjODAxXgA+jcP4MMudcrOMNTt9syG5GvgXgUav5Svl66/YEluOla595AUgD5rplStkjEkBZLc5KDT6fDw8Mjej8nJyanEZKklnaIopKWlERMTg4eHh8x+E0LcYcOxaN77LZKEtExcHWz44ulgHmtQMoZJCl1aHGyfajl+5COwyft6bldTrnLk5hE0aGgfcPeNMrPc3nNTUkhy8x9ZCwjea8NJUXQ8PDxk3ykhRA4Go5kv1p7gh+3nAQip7M6Mvg2pUr50bo2TJ9ungD4RvOtDg175emnWwn2NvBtRwbHCfa/XnypZM6VAkps7aDQafH198fLyIjMzU+1wyhRbW1vpsRFC5HA5Lo1BCyOIvJwAwMutqjL80SDsbO5ckb7MSLwCe76zHLcfDdr8/d5ce2EtAJ0DO9/3WnNGBobLlwFJbkoFnU4nb7RCCKGitUeu8f5vh0jOMOLuaMtXvULoWFe2bmHLRDDpIaAl1Lx/zcztLidd5ujNo2g12vuuSgxgOHcOzGZ07u7oKty/l8daSHIjhBDCqmRkmpi45jhzd10EoGEVD2b0a4ifh0z0IOYEHFxgOe4wFvJZF7ru4joAmvg0yduQ1G3bLpSkGlRJboQQQliNC7GpDFwQztGrSQC80aY673aqha2uDA9D3W7jOFDMEPQE+DfJ98vXXbAkN48GPpqn67OLiUvQTCmQ5EYIIYSVWBl5lQ+XHyZFb6Scsx2TnwmhbW0vtcOyHpd2w8nVoNFaam3y6ULiBU7EnUCn0dG+yv1nScG/xcR2JWimFEhyI4QQQmUZmSbG/nmMhXsvAdC0ajmm9wnDx91B5cisiKLA359YjsOeg4q18n2LrF6bh3wfwtPBM0+vyRqWcihBxcQgyY0QQggVnYlJYdCCcE5cT0ajgUHtajCkfU1sZBgqp+Mr4cpesHWCth8W6Bb5mSUFYEpJJTMqCpCeGyGEECJPlodf4eMVR0gzmKjgYs/U3qG0qllyZuQUG1MmbBhjOW4+CNzyv3Dh2YSznEk4g43WhkeqPJKn1xjOWnptdBUrYOOZt54eayHJjRBCiGKVZjAy+o+jLD1wBYCWNcozpXcoXq4yDJWr/T/9uzlmy8EFukXWkFTLSi1xt3fP02tK6pAUSHIjhBCiGJ2KTmbg/HBOx6Sg1cA7HWoxsF0NdNqSM824WGUkwj+TLMdtR4C9a75voShKvoekoGSuTJxFkhshhBBFTlEUluy/zOiVR8nINOPtZs+0PmE8VK282qFZtx3TIO0mlK8JDQcU6Ban4k9xPvE8dlo72vm3y/PrsqaBl7R6G5DkRgghRBFL0Rv5+PfDrDh4FYA2tSoy+ZkQyrvkfbPHMikxCnbNshx3GAM62wLdJmtIqpVfK1zsXPL8OhmWEkIIIXJx9Goiby+I4FxsKjqthvc61eb1h6uhlWGo+9s8AYwZUKU5BD1eoFsoisKa82sAeLRq3hbuAzDGx2O8tYG0XQ1JboQQQggUReHXPZcYv+oYBqOZSu4OTO8bRuPAcmqHVjJcOwQH51uOO47P9zYLWSJvRBKVEoWjjSNt/dvm+XX6EycAsA2ogs7FuUBtq0mSGyGEEIUqKSOTkcsOs/rwNQA61PHiy54heDrbqRxZCaEo8PdHgAL1ehRom4Usq8+tBqB9lfY42uR9b66M45bkxiGoToHbVpMkN0IIIQrNoSsJDFoQwaW4NGx1GoY/GsTLraqWqE0XVXdqHZzfCjp7S61NAWWaM/n74t8APF4tf8NaGSeOA+BQJ6jA7atJkhshhBAPTFEUft55gQlrjpNpUqjs6cjMfg0J9fdQO7SSxZQJf39sOX7oTfAMKPCtdl/dTVxGHOUcyvGQ70P5eq3+Vs+NfZAkN0IIIcqgxLRM3v8tkr+PRQPwaD0fPu8ZjLtjwWb3lGn7f4Kbp8GpPLQe9kC3yiok7hzYGRtt3t/uzXo9+nPnAHCoI8NSQgghypjwS/G8vSCCqIR07HRaPn6iDs8/FCDDUAWRngBbJlqO230IDnlbSTg3aZlpbLy0Ecj/kJT+9BkwmdB5emLjVTJ3ZZfkRgghRL6ZzQo/bD/HF2tPYjQrBJR3Yla/htT3K/gbcpm37StIj4MKtaHhCw90qy2Xt5BuTKeyS2WCKwTn67X62+ptSmqSKsmNEEKIfIlLNfDe0kg2nbCsg/JEsC8TezTA1UGGoQos7jzs+c5y3OlT0D3Y23PWkFSXal3ynaBkzZSyr10y621AkhshhBD5sO9CHG8viOB6Ugb2NlpGd61H36b+JfYvfKux/hMwGaBaO6jZ8YFuFZ8Rz46oHUD+h6QAMm6tcVNSZ0qBJDdCCCHywGxW+Pafs0xefwqTWaFaRWdm9WtIHV83tUMr+c5vg+N/gkYLnScUeMG+LOsvrseoGKlTrg7V3Kvl67WK2Zy9gF9JnSkFktwIIYS4j9gUPUMXH2Tb6VgAeoT5Mb57fZzt5S3kgZlNsHak5bjxS+Bd94FvmbVwX0F6bTKvXMGcmorGzg77qlUfOBa1yE+mEEKIu9p5NpYhiw5yI1mPo62Ocd3q0auxv9phlR7hv0D0YcvMqLYfPvDtrqZcJTwmHA0aHg3M+15SWbLrbWrWRGNbcmuoJLkRQghxB5NZYcam00zfeBqzArW8XZjVryE1vV3VDq30yEiETZ9ajtuOBOfyD3zLP8/+CUBTn6Z4O3vnP6RbM6XsS3C9DUhyI4QQ4j9ikjIYsuggu87dBKB3Y3/GPFkPRzudypGVMv98AWmxUKEWNHnlgW+nKAp/nrMkN0/WeLJA99CX8D2lskhyI4QQItvWUzcYuvggN1MNONvpmNCjAd1C/dQOq/S5efbfqd+dJ4DuwYeAIm9EcjHpIo42jnSo0qFA9ygNM6VAkhshhBCA0WRmyoZTfLPlLIoCdXzdmNUvjGoVXdQOrXRa9xGYM6FGxwee+p1l5dmVAHQM6IiTrVO+X2+Mj8d4/ToA9rVrF0pMapHkRgghyrhriekMXhjBvgvxADz3UBU+frwuDrYyDFUkTm+AU3+B1sbSa1MI9CY9ay+sBeDJ6gUckjp5EgDbKlXQuZTspFaSGyGEKMM2nYjm3SWRxKdl4mpvw8SnG/BEcCW1wyq9jAZYO9xy3OwNqFirUG675fIWkg3J+Dj70MSnSYHukZFdb1Oyh6RAkhshhCiTDEYzX647wffbzgPQwM+dmf3CCCjvrHJkpdye2XDzDDh7QZsPCu22WUNSXat1RavRFuget+8pVdJJciOEEGXM5bg03l4YwcHLCQC82DKQEY8FYW8jw1BFKvk6/PO55bjDmAfa9ft2semx2dstdK3etcD3yV7jRnpuhBBClCRrj1zng98iScow4uZgw5e9Quhcz0ftsMqGDWPAkAJ+jSCkb6Hdds25NZgUE8EVgqnqXrBVhc16Pfpz5wBwqFOyp4GDJDdCCFEm6I0mJq45wc87LwAQVsWDGX3DqOyZ/1k1ogAu7YHIhZbjx74EbcGGjnKTNSRV0EJiAP2ZM2A0ovPwwMY7/4v/WRtJboQQopS7eDOVQQsiOByVCMDrD1fjvc61sdUV3husuAezCf66VV8T9hxUblRotz4Zd5KT8Sex1dryaNX8b7eQJXuzzDpBpWKHd0luhBCiFFt16Cojlh0mRW/E08mWr58J4ZGgkv+XeYkSMQ+uHQR7N2g/ulBvndVr09a/Le72Ba/hyTh6DCj5KxNnkeRGCCFKoYxME+NXHWP+nksANAn0ZHrfMHzdHVWOrIxJi7PU2gC0HQEuXoV260xzJqvOrQIss6QeRPqRIwA41K/3wHFZA0luhBCilDl7I4WB88M5cT0ZjQbealudoR1qYSPDUMVv4zhIjwevetD09UK99dbLW4nLiKOCYwVaV25d4PsoBkP2sJRj/fqFFZ6qJLkRQohS5PeIK3z0+xHSDCbKO9sxpXcoD9eqqHZYZVPUATjws+X48a9AV7hvucvPLAcs079ttAW/d8bp0ygGA1p3d2yrVCms8FQlyY0QQpQC6QYTo1ceYcn+KwA8VK0c0/uE4eXmoHJkZZTZBKvfBRQI7gMBLQr19tGp0WyP2g7AUzWeeqB7ZRy2DEk51qtXKoqJQZIbIYQo8U5FJzNwfjinY1LQaGBI+5q8/UhNdNrS8UZVIoX/AlcjLEXEHccV+u3/PPcnZsVMQ6+GBV7bJkvG0Vv1Ng0aFEZoVkGSGyGEKKEURWHpgSuM+uMIGZlmKrraM61PKC2qV1A7tLIt9SZsHGs5bvcRuBbu7DRFUfj99O8APFXzwXptANIPl65iYpDkRgghSqRUvZGPVxzh94goAFrXrMCU3qFUcLFXOTLBxrGWImLv+tDklUK//f7o/VxKvoSTjROdAjo90L3M6enoT58GwFF6boQQQqjl+LUkBs4P51xsKjqthmEda/Fmm+poZRhKfZf3WYakALoUfhExkN1r81jVx3CyfbAVpjOOnwCTCV3FCqViZeIsktwIIUQJoSgKC/ZeYuyfxzAYzfi4OTCjXxhNAsupHZoAMBlh1VBAgZB+ENC80JtINiSz/uJ6oHCGpDKOZBUT1y81xcQgyY0QQpQIyRmZjFx+mFWHrgHQrnZFvn4mlHLOdipHJrLt/Q6iD4OjJ3QaXyRN/HX+LzJMGVR3r05wheAHvl/6kcMAODQoHevbZJHkRgghrNyRqEQGLgjn4s00bLQaPni0Nq+0qibDUNYkMQo2T7AcdxgLzkVT1H17IXFh9LRkTwMvRfU2IMmNEEJYLUVRmLvzAhPWnMBgMuPn4ciMfmE0rOKpdmjiv9aOAEMK+DeDsOeLpIlT8ac4cvMINhobulZ/sO0WAEwpKRjOnwfAoZSsTJxFkhshhLBCiWmZfLAsknVHowHoVNebL3uG4O5kq3Jk4g6n1sHxlaDRweOTQVs021wsPbkUgHZV2lHO4cHrrDKOHAXAtlIlbMqVrrotSW6EEMLKRFyK5+2FEVyJT8dWp+HDLnV4oUVgqSr4LDUMabDmPctx87fAp2h6QNIy07I3yexZq2eh3DMju96mdA1JAai+i9qsWbMIDAzEwcGBZs2asXfv3nten5CQwMCBA/H19cXe3p5atWqxZs2aYopWCCGKjqIofL/1HL1m7+JKfDpVyjmx7M0WvNiyqiQ21mrrl5BwCdwqQ5sRRdbMugvrSMlMwd/Vn4d8HyqUe6bf6rlxLGXFxKByz83ixYsZNmwYs2fPplmzZkydOpXOnTtz8uRJvLzu3BbeYDDQsWNHvLy8+O233/Dz8+PixYt4eHgUf/BCCFGI4lMNvLc0ko0nYgB4vIEvE59ugJuDDENZreijsHO65fixz8HepciaWnJyCWDptdFqCqdfIuPwrZ6bUlZvAyonN5MnT+bVV1/lxRdfBGD27NmsXr2aH3/8kREj7syAf/zxR+Li4ti5cye2tpb/8IGBgcUZshBCFLr9F+J4e2EE1xIzsLPRMuqJujzbrIr01lgzsxn+HAJmIwQ9AXWeKLKmjt08Zikk1trQrXq3QrmnMS6OzCjL6tYO9UrPtgtZVBuWMhgMHDhwgA4dOvwbjFZLhw4d2LVrV66vWblyJc2bN2fgwIF4e3tTv359JkyYgMlkums7er2epKSkHB9CCGENzGaFb7acofec3VxLzKBqBWd+f6sFzz0UIImNtdv/P7iyD+xc4bEvirSppacshcQdq3SkvGP5Qrln1uJ9dlWronN1LZR7WhPVem5iY2MxmUx4/2e5Z29vb06cOJHra86dO8emTZt49tlnWbNmDWfOnOGtt94iMzOT0aNH5/qaiRMnMnbs2EKPXwghHsTNFD1Dl0Sy9dQNALqFVuKzpxrgYi/zPKxe0jXYeGun7/ajwN2vyJpKzUxlzTlLXWmv2r0K7b7pR7I2yyx9Q1JQwmZLmc1mvLy8mDNnDjqdjkaNGhEVFcWXX3551+Rm5MiRDBs2LPtxUlIS/v7+xRWyEELcYfe5mwxeGEFMsh4HWy1jn6zHM439pbempPjrA9AngV9jaPJykTa1+txq0oxpBLoF0ti7caHd99/F+yS5KVQVKlRAp9MRHR2d43x0dDQ+Pj65vsbX1xdbW1t0Ol32uTp16nD9+nUMBgN2dncuQ25vb4+9veySK4RQn8msMHPTGaZtPIVZgRpeLszq15DaPqVvWKDUOrHGsqaN1ga6TgOt7v6vKSBFUbKHpHrV6lVoya+iKP9uu1C/9E0DBxVrbuzs7GjUqBEbN27MPmc2m9m4cSPNm+e+2VjLli05c+YMZrM5+9ypU6fw9fXNNbERQghrEZOcwfP/28OUDZbEplejyqwc1FISm5JEn/zvmjYt3i6yNW2yHIk9wom4E9hp7ehWo3AKiQGM169juhELOh0OdYIK7b7WRNV1boYNG8b333/P3LlzOX78OG+++SapqanZs6f69+/PyJEjs69/8803iYuLY8iQIZw6dYrVq1czYcIEBg4cqNanIIQQ97X9dCxdpm1j59mbONnpmPxMCF/2CsHJrkRVBogNYyEpCjwD4eEPiry5rF6bzoGdcbd3L7T7ph88CIBDUBBaR8dCu681UfV/Vu/evblx4wajRo3i+vXrhIaGsnbt2uwi40uXLqG9bRlrf39/1q1bx9ChQwkODsbPz48hQ4YwfPhwtT4FIYS4K6PJzNQNp5m15QyKAkE+rszs15AaXkW3HoooIhd3wb4fLMddp4GdU5E2l6hP5K/zfwGFW0gMkBYRAYBjWFih3teaqP5nw6BBgxg0aFCuz23ZsuWOc82bN2f37t1FHJUQQjyYa4npDFl4kL0X4gDo16wKo56oi4Nt0dVoiCKSmQEr3wYUCHsOqrUt8iZXnFlBhimDoHJBhFYMLdR7p0ccBMAxrHDva01UT26EEKK02XwyhmGLDxKflomLvQ0TejTgyZBKaoclCmrrl3DzNLh4Q6dPi7w5k9nEohOLAOgb1LdQZ9GZ09PJOH4cACfpuRFCCHE/mSYzX/19ku/+OQdAvUpuzOrXkMAKzipHJgrs+mHYMdVy3OUrcPQs8ia3R23nSsoV3OzceKzqY4V674wjR8BoxMbbGxtf30K9tzWR5EYIIQpBVEI6by8IJ/xSAgADmgcwsksdGYYqyUxG+GOQZYuFOl2h7pPF0uzCEwsB6FGzB442hVvwm5Y9JBVWqtdVkuRGCCEe0Ppj0by3NJLE9ExcHWz44ulgHmtQev8qLjN2fwPXDoKDu6XXphhcSLzAjqs70KDhmdrPFPr907OKiUNDCv3e1kSSGyGEKCCD0cykv07w447zAIRUdmdmv4b4lyvamTSiGMSegc2fWY47fQquuS8uW9gWn1wMwMOVH8bftXBX01cUJTu5Kc31NiDJjRBCFMilm2kMWhjOoSuJALzcqirDHw3CzkbV5cNEYTCb4I+BYMyAau0g7PliaTYtM40VZ1YAlkLiwma4cAFTQgIaOzsc6tQp9PtbE0luhBAin9Ycvsbw3w6RrDfi7mjL171C6FDX+/4vFCXDnu/g8m6wc4EnZ0Ax1aasOreKlMwUAtwCaF4p95X6H0TWFHCHBg3QlPJV/SW5EUKIPMrINDFhzXF+2XURgEYBnkzvG4afR+lc5bVMunn23x2/O40Hj+LZaFlRlOxC4j61+6DVFH4P4L9DUqGFfm9rI8mNEELkwfnYVAbOD+fYtSQA3mhTnXc71cJWJ8NQpYbZbFmsz5gOVR+GRi8WW9P7ru/jTMIZHG0cC3UfqdulHyz9KxNnkeRGCCHu44+DUXy4/DCpBhPlnO2Y/EwIbWt7qR2WKGz7foCLO8DWuViHowDmHZ8HwJPVn8TVrvA3UzUlJaE/fQYAx9DQQr+/tZHkRggh7iIj08TYP4+ycO9lAJpWLcf0PmH4uDuoHJkodPEXYMMYy3HHsZbNMYvJpaRL/HP5HwCerfNskbSRHhkJgG1AFWzKly+SNqyJJDdCCJGLMzHJDJwfwcnoZDQaeLtdDQa3r4mNDEOVPmYzrHgLMlMhoCU0frlYm//1+K8oKLT2a01V96pF0kZ2vU1o6R+SAkluhBDiDr8duMInK46Qnmmigos9U3uH0qpmBbXDEkVlz+x/h6O6zQJt8SWwSYak7Onfz9ctuinnZWEn8NtJciOEELekGYx8suIoy8KvANCyRnmm9A7Fy1WGoUqt2NOwcazluPOnUK5oek7uZtmpZaQb06npWZOHfB8qkjYUo5GMyEOAJDdCCFGmnLiexMD54Zy9kYpWA0M71OKtdjXQaUvv/jtlnskIv79hWayv+iPFOjsKwGg2suDEAgCer/N8ke31pD99GnNaGloXF+xrVC+SNqyNJDdCiDJNURQW77vM6JVH0RvNeLvZM61PGA9VK/1Fl2XezmkQtR/s3Yt9dhTAhosbuJ56nXIO5ehSrUuRtZM9JBUSgkZXNjZyleRGCFFmpeiNfLj8MCsjrwLQplZFJj8TQnkXe5UjE0Uu+ihsnmg5fmwSuFcu9hDmHbNM/+5duzf2uqL7mUs/EA6UjSngWSS5EUKUSUevJjJoQQTnY1PRaTW837k2r7WuhlaGoUo/owF+fx3MmVC7C4QU/j5O93Mw5iCHYg9hq7Utkt2/syiKQtq+fQA4NWlSZO1YG0luhBBliqIo/Lr7IuNXHcdgMlPJ3YEZ/cJoFFBO7dBEcdkyAa4fBsdy8MTUYh+Ogn97bR6v9jgVHItuJl7mxYsYY2LQ2NriGBpSZO1YG0luhBBlRlJGJiOWHWLN4esAdKjjxZc9Q/B0Lt2bCIrbXNwF26dajrtOA9fi3/D0cvJlNlzaAMBzdZ4r0rZS9+4FLPU2WoeyM+tPkhshRJlw6EoCAxeEczkuHVudhuGPBvFyq6pFNkNFWKGMJPj9NUCB0Geh7pOqhPHL0V8wK2ZaVmpJ7XK1i7SttH37AXBq2rRI27E2ktwIIUo1RVH4cccFJv11nEyTQmVPR2b2a0iov4faoYnitm4kJFwC9yrw6CRVQojLiMtetO+l+i8VaVuKopB2q+fGqWnZqbcBSW6EEKVYQpqB95YeYsPxaAAerefD5z2DcXe0VTkyUeyOr4KIXwENPDUbHNxUCWPhiYVkmDKoV74eTXyKNuHIvHQJY3S0pd4mpOzU24AkN0KIUurAxXgGL4wgKiEdO52Wj5+ow/MPBcgwVFmUEgN/DrYctxwMgS1VCSMtM42FJxYCll6bov5ZzKq3cQgJRuvoWKRtWZt8b6AxYMAAtm7dWhSxCCHEAzObFb775yy9v9tFVEI6geWdWP5WC/o3D5TEpixSFMummGk3wbs+tPtItVB+P/M7ifpE/F39aV+lfZG3l7bXMgXcuYzV20ABkpvExEQ6dOhAzZo1mTBhAlFRUUURlxBC5NvNFD0vzd3HxL9OYDQrdA2pxJ9vt6K+n7vaoQm17J0DZ9aDzh56fA826izQmGnOZO7RuQC8UO8FdNqiXSk4Z72NJDf3tWLFCqKionjzzTdZvHgxgYGBPPbYY/z2229kZmYWRYxCCHFfe87dpMv0bWw5eQN7Gy0TezRgep9QXB2kvqbMij4Gf39iOe70KXjXVS2UdRfWcS31GuUcyvFk9aKfpVWW622gAMkNQMWKFRk2bBiRkZHs2bOHGjVq8Pzzz1OpUiWGDh3K6dOnCztOIYTIldmsMHPTafp+v5voJD3VKzrzx6CW9G1aRYahyrLMDFj2Mpj0ULMTNH1VtVAUReGnIz8B8GydZ3GwKfr1ZrJWJS6L9TZQwOQmy7Vr11i/fj3r169Hp9PRpUsXDh8+TN26dZkyZUphxSiEELm6kaxnwE97+ervU5gV6NHQj5WDWhHko85MGGFFNoyBmGPgXBG6faPKKsRZdlzdwan4UzjaONK7du9iaTOrmLgsbblwu3zPlsrMzGTlypX89NNP/P333wQHB/POO+/Qr18/3Nwsv1B+//13XnrpJYYOHVroAQshBMDOM7EMWXyQG8l6HG11jOtWj16N/dUOS1iD0xtgz7eW4+7fgktFVcP5/tD3APSs1RN3+6Kv/7LU25TdYmIoQHLj6+uL2Wymb9++7N27l9Bcdhlt164dHh4ehRCeEELkZDIrTNt4mhmbTqMoUMvbhVn9GlLT21Xt0IQ1SImBFW9ajpu+DjU7qhrO/uv7CY8Jx1Zry4C6A4qlzczLlzFevw62tmVqJ/Db5Tu5mTJlCr169cLhHntUeHh4cP78+QcKTAgh/is6KYMhiyLYfS4OgD5N/BndtR6OdkU780SUEGazZbfv1Bjwqgsdx6odEXMOzQHgqRpP4e1cPPtYZc2Scgwum/U2UIDk5vnnny+KOIQQ4p7+OXWDYYsPcjPVgLOdjs+eakD3MD+1wxLWZOd0OLsJbByh509gq+4b+6Ebh9h1bRc6jY6XGhTtVgu3Sy2jWy7cTlYoFkJYNaPJzNfrT/HtlrMA1PF1Y1a/MKpVdFE5MmFVruyHTeMtx499Dl5B6sbDv7U2T1R7Aj+X4knEFUXJ3iyzrNbbgCQ3QggrdjUhncELI9h/MR6A5x8K4KPH6+BgK8NQ4jYZifDbS2A2Qr2noGF/tSPiRNwJtlzZggYNrzR4pdjazbx8GeO1a2W63gYkuRFCWKmNx6N5d2kkCWmZuNrbMOnpYB4P9lU7LGFtFAX+fAcSLoJHFeg6TdVp31myem0eDXyUQPfAYms3dedOABzL6Po2WSS5EUJYFYPRzBdrT/DDdsukhAZ+7szsF0ZAeWeVIxNWKfwXOLoctDaWOhsH9bfaOJdwjvUX1wPwSnDx9doApGzfDoBLq1bF2q61keRGCGE1Lsel8fbCCA5eTgDgxZaBjHgsCHsbGYYSubh+BP76wHL8yMdQubG68dzyw+EfUFB4xP8RannWKrZ2lcxM0nbvAcC5pSQ3QgihurVHrvPBb5EkZRhxc7Dhy14hdK7no3ZYwlrpk2HpADBmQI2O0GKI2hEBcDHpImvOrwHgteDXirXt9EOHMKekoPPwwKFunWJt29pIciOEUJXeaGLimhP8vPMCAKH+HszsF0ZlTyd1AxPWS1Fg1VC4eQbc/OCp70D7QLsJFZrvIr/DpJho7deaehXqFWvbqTt2AODcogUaXdnu7ZTkRgihmguxqQxaGM6RqCQAXn+4Gu91ro2tzjreqISVCp8Lh5eCRgc9fwTn8mpHBMC5xHOsPr8agIFhA4u9/ZTtt5Kbli2LvW1rI8mNEEIVqw5dZcSyw6TojXg62fL1MyE8ElQ8K7iKEuz6YVhzq86m/Sio8pC68dxmduRszIqZdv7tqFe+eHttTAkJZBw+DIBzyxbF2rY1kuRGCFGsMjJNjFt1jAV7LgHQJNCT6X3D8HUvu9NWRR5lJMHSF8Ckh5qdoMVgtSPKdib+DGvPrwXgrdC3ir391F27QFGwr1kDWx+pVZPkRghRbM7eSGHg/HBOXE9Go4GBbWvwToea2MgwlLgfRYGVg6yyzgbg28hvUVDoGNCRoHLFvzpySna9jQxJgSQ3Qohi8nvEFT76/QhpBhMVXOyY0juU1jUrqh2WKCl2fwvH/gCtLfSaC07l1I4o28m4k/x98W80aHgz5M1ib19RFFKz6m3K+Po2WSS5EUIUqXSDiVF/HGHpgSsANK9Wnml9QvFyc1A5MlFiXNoN6z+xHHeeAP7WtSHkt5HfAtA5sDM1PWsWe/uGc+cwXr+Oxs4Op8aNir19ayTJjRCiyJyKTmbg/HBOx6Sg0cCQ9jV5+5Ga6LTqL48vSoiUG5Y6G7MR6j8NTV9VO6Icjt08xsZLG1XrtQFIvbUqsVPjxmV6y4XbSXIjhCh0iqKw9MAVRv1xhIxMMxVd7ZnWJ5QW1SuoHZooSUxG+O1FSL4GFWpD1+lWsW/U7WZGzASgS7UuVPOopkoM2fU2MgU8myQ3QohClao38vGKI/weEQVA65oVmNI7lAou9ipHJkqczZ/ChW1g6wy954G9i9oR5bD/+n62RW3DRmOjWq+NWa8nbe8+QOptbifJjRCi0By7msSgBeGci01Fp9UwrGMt3mxTHa0MQ4n8OvYHbJ9iOe42AyrWVjee/1AUhWnh0wDoUbMHAW4BqsSRHh6OkpGBTcWK2Ncq/nofayXJjRDigSmKwoK9lxj75zEMRjM+bg7M6BdGk0DrmdEiSpCYE7Di1loxzQdZam2szJbLWzh44yAOOgdeD3ldtTiydgF3btkSjZUN2alJkhshxANJzshk5PLDrDp0DYBHgrz4qlcI5ZztVI5MlEgZibD4WTCkQGBr6DBW7YjuYDKbmB4xHYDn6j6Hl5OXarGkbt0GSL3Nf0lyI4QosMNXEhm0MJyLN9Ow0WoY/mgQL7eqKsNQomDMZvj9zVsL9VWGXj+DzvreplafX82ZhDO42bnxYv0XVYvDcOUK+tOnQafDpbXU29zO+n5qhBBWT1EU5u68wIQ1JzCYzPh5ODKjXxgNq3iqHZooybZ9DSdXg84eev8CztY3u85gMjArYhYALzd4GTc7N9ViSdm0GQCnhg3ReXioFoc1kuRGCJEviWmZfLAsknVHowHoVNebL3uG4O5kq3JkokQ7uRY2f2Y5fvxr8LPOxeiWnFzC1dSreDl60Teor6qxJG/eBIDLI4+oGoc1kuRGCJFnEZfiGbQggqiEdGx1Gj7sUocXWgRKIaN4MDdOwrJXAAUavwQNn1c7olylGFKYc2gOAG+GvomjjXoL5pmSk0nbtx8A13ZtVYvDWlnFrmOzZs0iMDAQBwcHmjVrxt69e/P0ukWLFqHRaOjevXvRBihEGacoCt9vPUev2buISkinSjknlr3ZghdbVpXERjyY9ARY2BcMyVClBTz6udoR3dWPR34kXh9PoFsg3Wt0VzWW1G3bwGjErlo17AIDVY3FGqme3CxevJhhw4YxevRowsPDCQkJoXPnzsTExNzzdRcuXOC9996jdevWxRSpEGVTfKqBV+bu57M1xzGaFR5v4Muqwa0IruyhdmiipDObYNnLEHcW3P3hmV/Axjpn2V1LucYvx34BYGijodho1R34SL5Vb+P6SDtV47BWqic3kydP5tVXX+XFF1+kbt26zJ49GycnJ3788ce7vsZkMvHss88yduxYqlVTZ7lrIcqC/Rfi6DJ9GxtPxGBno+XT7vWZ2S8MNweprxGFYMMYOLMBbByhz3xwsd5d4qdFTENv0tPYuzHt/NVNKJTMTFK2bgWk3uZuVE1uDAYDBw4coEOHDtnntFotHTp0YNeuXXd93bhx4/Dy8uLll1++bxt6vZ6kpKQcH0KIezObFWZtPkPvObu5lphB1QrO/P5WC557KECGoUThOLQEdlrWiqH7LPANUTeeezgSe4TV51YD8F6T91T/P5AWHoE5KQmdpyeOIdb7dVOTqv1qsbGxmEwmvL29c5z39vbmxIkTub5m+/bt/O9//+PgwYN5amPixImMHWt9i0AJYa1iU/QMXXyQbadjAegeWolPn2qAi73MPxCF5PI++GOQ5bjVMKtcgTiLoih8ue9LALpW60q98vVUjghSNt2aJdWmDRqdTuVorJPqw1L5kZyczPPPP8/3339PhQp5W/9g5MiRJCYmZn9cvny5iKMUouTadfYmXaZtY9vpWBxstXzxdDBTeodKYiMKT8JlWNQPTHqo3QUe+VjtiO5p06VNhMeEY6+zZ3DDwWqHg6IoJG+21Nu4SL3NXan6G6tChQrodDqio6NznI+OjsbHx+eO68+ePcuFCxfo2rVr9jmz2QyAjY0NJ0+epHr16jleY29vj7297EYsxL2YzAozNp1m+sbTmBWo6eXCrGcbUsvbVe3QRGmiT7HMjEqNAe8G0ON70Fpvz0OmKZPJByYD0L9uf3yc73xfKm6Gc+fIvHQJja0tLrLlwl2pmtzY2dnRqFEjNm7cmD2d22w2s3HjRgYNGnTH9UFBQRw+fDjHuY8//pjk5GSmTZuGv79/cYQtRKkSk5TBO4sPsvPsTQB6NarM2G71cLKT3hpRiMxmWP4aRB8G54rQdyHYu6gd1T0tPrmYS8mXKO9Qnpcb3L/Gszgk3xqScnroIbTOzipHY71U/+01bNgwBgwYQOPGjWnatClTp04lNTWVF1+07NfRv39//Pz8mDhxIg4ODtSvXz/H6z1uLTn93/NCiPvbdvoGQxcfJDbFgJOdjk+716dHw8pqhyVKo03j/t1aoc8C8LDuP0bjMuL4JvIbAAaGDcTZ1joSiRSZAp4nqic3vXv35saNG4waNYrr168TGhrK2rVrs4uML126hFZbokqDhLB6RpOZqRtOM2vLGRQFgnxcmdmvITW8rPsvaVFCRfwK26dYjrvNBP+m6saTBzMiZpBsSCaoXBA9avRQOxwAjDdvkn5rMo1LO0lu7kWjKIqidhDFKSkpCXd3dxITE3FzU2/DMyHUci0xnSELD7L3QhwAfZtWYXTXujjYWm/tgyjBzv0Dv/YAsxEeft/qC4gBjt08Rp9VfVBQmPvoXBp6N1Q7JADily7l+iejsK9bh2rLl6sdTrHLz/u36j03Qojis/lEDMOWHCQ+LRMXexsm9GjAkyGV1A5LlFY3TsLi5y2JTf2e0O4jtSO6L0VRmLhnIgoKXap2sZrEBiB57ToA3Do/qnIk1k+SGyHKgEyTma/+Psl3/5wDoF4lN2b1a0hgBeuoIxClUEoMzO8J+kTwfwi6zYISsADkqnOrOHjjII42jgxrNEztcLIZ4+NJ3b0bALdHO6scjfWT5EaIUu5KfBpvL4wg4lICAP2bB/BhlzoyDCWKTma6Zcp3wiXwrGopILZ1UDuq+0rNTGXKAUtt0GvBr+Ht7H2fVxSf5PXrwWTCoW5d7AIC1A7H6klyI0Qp9vfR67z/2yES0zNxdbDhi6eDeayBr9phidLMbIbfX4eo/eDgAc8uBefyakeVJ3MOzeFG+g38Xf3pX7e/2uHkkLx2LQCuj8qQVF5IciNEKWQwmpn413F+2nEBgJDK7szs1xD/ck7qBiZKv78/gmN/gNbWshlmhZpqR5QnFxIvZO/6PbzJcOx01rM7uTEujtTdewAZksorSW6EKGUu3Uxj0MJwDl1JBOCVVlX54NEg7GxkSQVRxHbOhN2WtWF4ajYEtlI3njxSFIVP93yK0WyklV8rHq78sNoh5ZD893owm3GoVw+7KlXUDqdEkORGiFJkzeFrDP/tEMl6I+6OtnzdK4QOda2nbkCUYkeWWXptADqOgwY91Y0nH9acX8Oea3uw19nzYdMPVd/1+7+Sbg1JuT0mQ1J5JcmNEKVARqaJz1YfZ97uiwA0CvBket8w/DwcVY5MlAkXdsDvb1iOm74GLdTfYDKvkgxJfLHvC8BSROzvZl0rJxtjY0nbuxeQepv8kORGiBLufGwqA+eHc+xaEgBvtKnOu51qYauTYShRDGKOw6K+YDJA0BPw6KQSMeU7y/Tw6cRlxFHVvSov1HtB7XDukLz+1pBUgwbYVZatUfJKkhshSrA/Dkbx4fLDpBpMlHO24+tnQmhX20vtsERZkXAZ5vWAjESo3BSe/sGqd/n+r8M3DrPk5BIAPm72sVUVEWdJ+uvWkJT02uSLJDdClEDpBhNj/zzKon2XAWhatRzT+4Th4279a4mIUiL1Jsx7CpKvQoXa0G8x2JacYVCj2cj43eNRUOharStNfa1vvyvjjRuk7dsHyCyp/JLkRogS5kxMMgPnR3AyOhmNBt5uV4PB7WtiI8NQorgYUmHBM3DzNLj5wfPLwamc2lHly6ITizgedxxXO1febfyu2uHkKunvv0FRcAgJxtbPT+1wShRJboQoQX47cIVPVhwhPdNEBRd7pvYOpVXNCmqHJcoSUyYs6W9ZpM/RE57/HdxLVi3I1ZSrzIiYAcDQRkMp72idiwwm/fUXAG6PPqZyJCWPJDdClACpeiOf/HGE5eFRALSsUZ4pvUPxcpVhKFGMzGZY8Rac2QA2jtBvKVSsrXZU+aIoCuN2jyPNmEaYVxhP13xa7ZByZbhyhfT9B0CjkSGpApDkRggrd+J6EgPnh3P2RipaDQztUIu32tVApy05M1JEKaAo8NcHcHgJaHTwzC/g30TtqPJt1blV7IjagZ3WjrEtxqLVWOdwbuIffwDg9FAzbH1ly5T8kuRGCCulKAqL9l1mzMqj6I1mvN3smdYnjIeqWWcXuijlNn8G+74HNPDUd1Crk9oR5dvN9Jt8vu9zAN4MfZOq7lVVjih3iqKQ+MdKADy6d1c3mBJKkhshrFCK3siHyw+zMvIqAG1qVWTyMyGUd7FXOTJRJu2cAVu/tBw//hUE91I3ngKatHcSifpEgsoFMaDeALXDuav08HAyL11C6+SEa8eOaodTIklyI4SVORKVyKAF4Vy4mYZOq+G9TrV5/eFqaGUYSqjhwFz4+2PLcfvR0OQVdeMpoE2XNrH2wlp0Gh1jW4zFVmurdkh3lbhiBQCunTujdZLNbgtCkhshrISiKPy6+yLjVx3HYDJTyd2BGf3CaBRQsqbYilLkyHL4c4jluOU70HqYquEUVLIhmc92fwbAC/VeoG75uipHdHfmjIzshfvcZUiqwCS5EcIKJKZnMnL5IdYcvg5AhzpefNkzBE9n61sxVZQRJ1bDslcABRq9CB3GqB1RgX2+93Ni0mMIdAvkjZA31A7nnpI3bMSckoJtpUo4NWmsdjglliQ3Qqgs8nICgxaGczkuHVudhuGPBvFyq6pWtzOxKENOb4ClL4BiguA+8PjkErVf1O02X9rMH2f/QIOGcS3H4WBj3csnZA1JuXfvhkZrnTO5SgJJboRQiaIo/G/7eT5fe4JMk4J/OUdm9G1IqL+H2qGJsuzcP7D4WctGmHW7Q7dZUELfZOMz4hmzawxgGY4K8wpTN6D7yIyOJnXnTgDcu3VTOZqSTZIbIVSQkGbgvaWH2HA8GoDH6vsw6elg3B2tt8hRlAGXdsPCPmDMgNpdLBth6krm24SiKIzfPZ64jDhqeNRgYNhAtUO6r8SVK8FsxrFhQ+wCAtQOp0QrmT+1QpRgBy7G8faCCK4mZmCn0/LJE3V47qEAGYYS6rq8D37tCZlpUL099PoZdCU32V5zfg3rL67HRmPDZ60+w15n3csoKIpC4grLwn3u3aXX5kFJciNEMTGbFeZsO8eX605iMisElndiZr+G1PdzVzs0UdZd2Q+/9gBDMgS2ht6/go11JwP3EpMWw2d7LLOjXgt5zapnR2XJOHIEw9mzaOztcXtM9pJ6UJLcCFEM4lINDFtykC0nbwDwZEglJvRogIu9/BcUKrtyAOY9BfokCGgF/RaDXcldW0VRFEbtHEWyIZl65evxSoOSsS5PwpKlALh26IDO1VXlaEo++c0qRBHbc+4mgxdFEJ2kx95Gy5gn69Gnib8MQwn1Rd2e2LSEZ5eAnbPaUT2QBScWZO8d9Vmrz6x6sb4spuRkEletAsCj9zMqR1M6SHIjRBExmRW+2XyGKRtOYVagekVnZj3bkCAfN7VDEwKiwm8lNolQpTn0K/mJzcm4k0zePxmAdxu/S3WP6ipHlDeJK/5ASU/HrkZ1nJqUvM1IrZEkN0IUgRvJeoYuPsj2M7EA9Gjox6fd6+NkJ//lhBW4vA9+fdqS2Pg/BM8uBXsXtaN6IBnGDIZvHY7BbODhyg/TN6iv2iHliaIoxC9aBIBnn77So1tI5DetEIVs55lYBi86SGyKHkdbHeO716dno8pqhyWExcVdML+XpXi4SvNbiU3Jr/H4ev/XnE08S3mH8oxrMa7EJAlp+/ZZCokdHXHv9qTa4ZQaktwIUUhMZoVpG08zY9NpFAVqe7sys18YNb1L/huHKCXOb4MFvSEz1TIrqt/iEj8UBbDl8hYWnbT0fnzW6jPKO5ZXN6B8SLjVa+PetasUEhciSW6EKATRSRkMXhjBnvNxAPRp4s/orvVwtNOpHJkQt5zdDAv7gjEdqrWDPgtK9KyoLDfSbjBqxygAnq/7PC39WqocUd4Zb9wgaf0GADz79lE5mtJFkhshHtA/p24wdPFB4lINONvpmNCjAd1C/dQOS4h/nVoHi58Hkx5qdoJn5oGtde+xlBcms4nh24YTr4+ntmdt3mn4jtoh5UvCsmWQmYljSAgOdeqoHU6pIsmNEAVkNJn5ev0pvt1yFoC6vm7M7BdGtYoluzBTlDJHlsPyV8FstGyp0OvnEr1A3+2+ifyGfdf34WjjyBdtvsBOZ6d2SHmmmEzEL1kCgGe/klH8XJJIciNEAVxNSGfwwgj2X4wH4PmHAvjo8To42MowlLAi4fPgz8GgmKF+T3hqdoneUuF2O6N28v2h7wEY3Xw01dyrqRxR/qT8sxXj1WvoPDxwffRRtcMpdSS5ESKfNh6P5t2lkSSkZeJqb8PnPYPp0sBX7bCEyGn3t7B2hOW44QB4YgpoS0fyHZ0azYhtI1BQ6FWrF49Xe1ztkPItftFCANx79EBrXzp60qyJJDdC5JHBaObLdSf4ftt5AIIruzOzb0OqlC/5RZmiFFEU2PolbLbsrUTzQdDpUyghU6Pvx2g28sHWD4jXxxNULojhTYerHVK+6c+dI3XrNtBo8JQViYuEJDdC5MHluDQGLYwg8nICAC+1rMrwx2pjb1M6/hIWpYTZbOmt2fud5XHbkdBmeKlJbABmRMwgPCYcZ1tnvm7ztdXv9p2buJ9+AsCl/SPYBQSoHE3pJMmNEPex9sg13v/tEMkZRtwcbPiqVwid6vmoHZYQORkN8MdbcNiyASOPfg4PvaFuTIVs48WN/HjkRwDGtRhHFbcqKkeUf8YbN0hc8QcA5V96SeVoSi9JboS4C73RxITVx5m76yIAYVU8mNE3jMqeMgwlrIwhFZb0hzMbQGsD3WdDcC+1oypU5xLO8eH2DwF4rs5zdArspHJEBRP363yUzEwcQ0NxathQ7XBKLUluhMjFhdhUBi0M50hUEgCvt6nGe51qY6vTqhyZEP+RFmdZdfjKXrBxhN7zoGZHtaMqVMmGZIZsHkKaMY0mPk14t/G7aodUIObU1Ox9pMq9LL02RUmSGyH+48/Iq4xcfpgUvRFPJ1smPxNKuyAvtcMS4k7xFy0bYN48DQ4eln2i/JuqHVWhMitmPtz2IReSLuDj7MNXbb7CRlsy37oSli3HnJiIbUAVXB95RO1wSrWS+RMiRBHIyDQx9s9jLNx7CYAmgZ5M7xuGr7ujypEJkYtrkZYNMFOiwc0PnlsGXqVvldvvIr9jy5Ut2GntmNpuKuUcyqkdUoEoRiNxc+cCUP7FF9HoZDJCUZLkRgjg7I0UBs4P58T1ZDQaGNi2Bu90qImNDEMJa3R2k2U7BUMKeNWz9Ni4l74tPzZf2sw3kd8A8EnzT6hXvp7KERVc0rp1ZEZFofP0xL17d7XDKfUkuRFl3u8RV/jo9yOkGUxUcLFjSu9QWtesqHZYQuQuchH8MdCynUJga+gzHxzc1Y6q0J2MO8mIbZZFCPvU7kP3Gt3VDegBKIpC3P8ss7w8n30WrUPJ39fL2klyI8qsNIOR0X8cZemBKwA0r1aeaX1C8XKTXzzCCikKbJkE/0yyPK7/NHT/ttTsE3W72PRY3t70NmnGNJr5NuODph+oHdIDSduzl4xjx9A4OOD5bD+1wykTJLkRZdKp6GQGzg/ndEwKWg0MaV+LQY/UQKctPYudiVLEqIeVg+GQZaYNLQZDh7GgLX3DpnqTniGbh3At9RqBboF83eZrbLUlez+s2G+/BcCjx1PYeHqqHE3ZIMmNKFMURWHp/iuMWnmEjEwzXq72TO0TSovqFdQOTYjcpcfDoufg4nbQ6ODxr6Hxi2pHVSQUReGTHZ9w6MYh3OzcmNl+Ju72JXvILXXPXtL27AFbW8q/8ora4ZQZktyIMiNFb+Tj3w+z4uBVAFrXrMCU3qFUcCl93fqilIg7B/OfsUz1tnOFZ36GGh3UjqrIzDk0h7/O/4WNxoYpbacQ4FaytyZQFIXYGTMA8OzVE9tKlVSOqOyQ5EaUCceuJjFoQTjnYlPRaTW826kWbzxcHa0MQwlrdX4bLHne0nPjVhmeXQLeJXe20P2sPreamQdnAvDhQx/S1Lfkr9eTtns3afv3o7G1pfxrr6kdTpkiyY0o1RRFYf6eS4xbdQyD0YyvuwPT+4bRJLBkrpUhyogDP8Pqdy0zovwaQZ8F4Fp69zPbfW03H+/4GID+dfvTq1bJ3zpCURRuzLAkax69e2PrU3q/f9ZIkhtRaiVlZDJy+WFWH7oGQPsgL77qFYKns53KkQlxFyYj/P0x7LEUoFL/aeg2C2xL70KSJ+NOMnTzUIxmI50DO5fYrRX+K3XHTtLDw9HY21P+1VfVDqfMkeRGlEqHryQyaGE4F2+mYaPVMOKxIF5uVRWNRoahhJVKj4ffXoazGy2P230MD78Hpfhn9lrKNd7a8BYpmSk08m7EZ60+Q6sp+TPActTa9OmNrbds31LcJLkRpYqiKMzdeYEJa05gMJnx83BkZr8wwqrI9EthxWKOw8K+EH/esvllj++gbje1oypSifpE3tzwJjHpMdTwqMG0dtOw15WO4v7UbdtIj4xE4+AgM6RUIsmNKDUS0zL5YFkk645GA9Cprjdf9gzB3alkr5EhSrnjf8Lvb1i2UnCvAn0XgE8DtaMqUunGdAZvGszZxLN4OXrxbYdvS/yU7yy319p49u2LTUVZ7VwNktyIUiHiUjyDFkQQlZCOnU7Lh12CGNAiUIahhPUymy2rDf/zueVxYGvoNRecy6sbVxHLNGUydMtQwmPCcbV15ZsO3+DjXHqKbZPXriXj8GE0jo6Uf+VltcMps6xicHPWrFkEBgbi4OBAs2bN2Lt3712v/f7772ndujWenp54enrSoUOHe14vSjezWeH7refoNXsXUQnpVCnnxLI3W/BCS6mvEVYsPR4W9vk3sWn2Jjz/e6lPbExmEyO2jWBH1A4cbRyZ1WEWtcvVVjusQmPW64n56msAyr/yMjblS/f305qpntwsXryYYcOGMXr0aMLDwwkJCaFz587ExMTkev2WLVvo27cvmzdvZteuXfj7+9OpUyeioqKKOXKhtvhUA6/8sp/P1hzHaFZ4PNiXVYNb0aBy6ejeFqXUtUMwpy2cXgc6e8v+UI9NAl3pHj5VFIVxu8fx98W/sdHaMLXtVMK8wtQOq1DFz5tHZlQUNt7elH+xdK4iXVJoFEVR1AygWbNmNGnShJkzLWOUZrMZf39/3n77bUaMGHHf15tMJjw9PZk5cyb9+/e/7/VJSUm4u7uTmJiIm5vbA8cv1LHvQhyDF0ZwLTEDOxsto7vWpV/TKtJbI6zbwQWwaigYM8CjCjwzDyqFqh1VkVMUhckHJvPz0Z/RarR81eYrOgZ0VDusQmW8eZOznR/FnJKC76SJeHTvrnZIpU5+3r9VrbkxGAwcOHCAkSNHZp/TarV06NCBXbt25ekeaWlpZGZmUq6cLMpWFpjNCt/+c5bJ609hMitUq+DMzH4NqVtJElVhxTIzYO0IOPCT5XHNTvDUd+BU+n9vKYrCzIMz+fnozwCMaT6m1CU2ADdmzsSckoJD3bq4P/mk2uGUeaomN7GxsZhMJry9vXOc9/b25sSJE3m6x/Dhw6lUqRIdOuS+34per0ev12c/TkpKKnjAQlWxKXqGLYlk66kbADwV5sen3evjbC918cKK3TwLS1+A64cADbQdCQ+/Xyp39M7Nt5HfMufQHACGNxnOUzWfUjmiwqc/fZqExUsA8BoxHE0Z+d5asxL9rjBp0iQWLVrEli1bcHBwyPWaiRMnMnbs2GKOTBS2XWdvMmRRBDHJehxstYzrVp9ejSrLMJSwbkd/hz/eBkMyOJWHHnNK9caX//Vt5Ld8G2lZbfm9xu/xXN3nVI6oaER/+SWYzbh27IBz05K/J1ZpoGpyU6FCBXQ6HdHR0TnOR0dH43OffTi++uorJk2axIYNGwgODr7rdSNHjmTYsGHZj5OSkvD393+wwEWxMZkVZmw6zfSNpzErUNPLhVnPNqSWt6vaoQlxd0Y9rPsI9n1veVylOTz9P3D3UzeuYjTn0By+OfgNAO82epcB9QaoHFHRSNm+g9St28DWFq93S8fWEaWBqsmNnZ0djRo1YuPGjXS/VXxlNpvZuHEjgwYNuuvrvvjiCz777DPWrVtH48aN79mGvb099valY9XLsiYmKYN3Fh9k59mbADzTuDJjn6yPo51O5ciEuIfY0/Dbi3D9sOVxq6GWrRR0JbqjPF9+OPwDMyIs2w+80/AdXqj/groBFRGzXk/0p58CUK5fX+wCA9UNSGRT/X/bsGHDGDBgAI0bN6Zp06ZMnTqV1NRUXrw1ja5///74+fkxceJEAD7//HNGjRrFggULCAwM5Pr16wC4uLjg4uKi2uchCte20zcYuvggsSkGnOx0fPZUfZ4Kq6x2WELcnaLAwfmw5n3ITAPHcvDUbKjVWe3Iio2iKMyImMH3hy09VkMaDuHlBqV3Ibubc77HcOECuooVqHCPP8hF8VM9uenduzc3btxg1KhRXL9+ndDQUNauXZtdZHzp0iW0txVnffvttxgMBnr27JnjPqNHj2bMmDHFGbooAkaTmSkbTvHNlrMoCgT5uDKzX0NqeEniKqxYRiKsGgZHfrM8Dmxtqa9xq6RuXMVIURS+2PcFvx7/FYChjYbyUv2XVI6q6OjPnePmHEuhtM9HH6FzlaFya6L6OjfFTda5sV7XEtMZvDCCfRfiAejXrAqjnqiLg60MQwkrdmk3LH8NEi6CRgePfAQt3wFt2fm5NZlNjN89nmWnlwHwYbMP6RvUV+Woio6iKFx6vj9p+/fj0qYNlWd/K5MbikGJWedGiCybTkTz7pJI4tMycbG3YWKPBnQNKTt/9YoSyJRp2T5h29egmC2L8j39I/g3UTuyYmU0G/lo+0esOb8GrUbL2BZj6V6ju9phFanE5b+Ttn8/GkdHvD/5RBIbKyTJjVBVpsnMl+tOMmfrOQDq+7kxs29DAis4qxyZEPcQexqWvwpXIyyPQ/rCY5+DQ9na+iPdmM57/7zH1itbsdHYMLH1RB6t+qjaYRUpY1wcMV98AUDFQYOwq1x2ZsCVJJLcCNVcjktj8KIIIi4lAPBCi0BGdgnC3qbsdOeLEsZshv3/g78/AWM6OHhA16lQr/QtTHc/CRkJDNw0kEM3DmGvs+frNl/Txr+N2mEVuZjPP8eUmIh9UBDlBtx/yx+hDkluhCrWHb3O+0sjScow4uZgwxc9Q3i0/r3XNhJCVQmX4Y+BcP4fy+NqbS2bXpahouEs11Ku8fqG1zmfeB43OzdmtZ9FqFeo2mEVuZR//iHxj5Wg0eA7biwaG3kLtVbynRHFSm80MXHNCX7eeQGAEH8PZvYNw7+ck7qBCXE3igIRv8LakZaVhm0coeNYaPJqmdlC4Xan40/zxvo3iEmPwdvJm+86fkd1j+pqh1XkjHFxXP3oYwDK9e+P4z0WjxXqk+RGFJuLN1MZtCCCw1GJALzauirvdw7CzqbsvUGIEiIxyrKL9+l1lseVm1rWrilf+t/Mc7Pz6k7e3fIuKZkpVHevzuyOs/FxLv09roqicG3UKEyxsdjXrEHFYUPVDknchyQ3olisPnSNEcsOkaw34uFky9e9Qmhfx/v+LxRCDYoCB36G9aNAnwQ6e8sU7+aDytQU79stObmECXsmYFJMNPRqyPRHpuNuXzYKqBOXLydlw0awtaXSF1+glVXvrZ4kN6JIZWSa+HT1MX7dfQmAxgGeTO8bRiUPR5UjE+Iu4s7BysFwYZvlsV9j6DYLvILUjUslJrOJyQcm88uxXwB4otoTjG0xFjudncqRFQ/D5ctEfzYBgIqD38ahTh2VIxJ5IcmNKDLnbqQwcEEEx68lAfBW2+oM7VgLW50MQwkrZDLCntmw6VPLTCgbR2j/CTR7o8z21qRlpjF823C2XN4CwMDQgbwe/HqZWddFMZm4OnwE5rQ0HBs3ovxLpXfF5dJGkhtRJFZERPHh74dJM5go72zH5N6htKlVUe2whMhdVDj8OQSuH7I8DmwNT06HctXUjUtFl5MuM3jzYM4knMFOa8enrT7lsaqPqR1Wsbr5/fekh4ejdXam0qTP0ejKZpJbEklyIwpVusHEmJVHWbz/MgAPVSvHtD5heLs5qByZELnQJ8Omz2Dvd5ZVhh3coeN4aNgfykjvRG52Ru3k/a3vk2RIorxDeaa2m1ompnrfLnXXLm5Mt+xs7v3Jx7JYXwkjyY0oNKejkxm4IJxT0SloNPD2IzUZ0r4mOm3ZfZMQVkpR4PifsHYEJEVZzjXoBZ0ngIuXurGpSFEUfj76M1PDp2JWzARXCGZy28l4O5et4v/Ma9eIGvYumM249+iBe7duaock8kmSG1Eolu6/zCd/HCEj00wFF3um9wmlRY0KaoclxJ1unoU178PZjZbHHgHwxGSo0UHduFSWlpnGmJ1j+OvCXwA8VeMpPn7o4zJTOJzFbDBw5Z13MMXHY1+3Dj6jZO+okkiSG/FAUvVGPvnjCMvDLX/9tqpRgSm9Q6noKlMlhZXJTIdtk2HHVDAZQGcHLYdAq2FgV7YXkTwVf4p3t7zLhaQL2GhsGN50OL1r9y6Tb+oxkyaREXkIrZsbladNQ+sgQ+olkSQ3osCOX0ti0IJwzt5IRauBYR1r8VbbGmhlGEpYE0WB4yvh748hwbIkAdUfgce+hAo11I3NCvx++ncm7JlAhikDLycvvmrzFWFeYWqHpYrEP/4gfsFCACp98Tl2/v4qRyQKSpIbkW+KorBw72XG/nkUvdGMt5s90/uE0axaebVDEyKn6KPw1/B/16xx84NHJ0KdJ8t0wTBYdvT+bPdn/HH2DwBaVmrJhNYTKOdQTuXI1JF+9CjXRo8BoMJbb+Hatq2q8YgHI8mNyJfkjEw+/P0If0ZeBaBt7Yp83SuE8i4yDCWsSOpN2DIB9v9omQVl42AZgmo5BOyc1Y5OdcduHmP41uFcSLqAVqNlYOhAXmnwClpN2VyDKjMqistvvIGSkYFz69ZUGPiW2iGJByTJjcizI1GJDFoQzoWbaei0Gj7oXJtXW1eTYShhPYx62PMdbP0K9JY9zKjbzTK92zNA3disgFkxM/foXKZHTMdoNlLRsSKTWk+iqW9TtUNTjSkpiUuvv47pRiz2tWrhN/lrWc+mFJDkRtyXoij8susin60+jsFkxs/Dkel9w2gU4Kl2aEJYKAoc/R02jIGEi5Zz3g3g0QlQ9WFVQ7MW11Ov8/H2j9lzfQ8A7au0Z0zzMXg4eKgbmIoUg4Erbw/GcOYsNl5e+H83G52rq9phiUIgyY24p8T0TIb/doi1R68D0KGON1/1CsbDqWxNDxVW7MIO2DAaruyzPHb1hUc+gZA+ZXbbhNspisLq86uZuGciSYYkHG0cGd5kOD1q9iiTs6GyKIrCtU8+IW3PHrROTvh/NxtbX1+1wxKFRJIbcVcHLycwaEE4V+LTsdVpGPFYHV5qGVimfyEKK3L9CGwcC6f/tjy2dbbU1LQYJHU1t8SmxzJ+13g2Xd4EQL3y9ZjUehKB7oHqBmYFbkyfTuIfK0Gnw2/aVNkQs5SR5EbcQVEU/rf9PJP+OoHRrOBfzpGZfRsS4u+hdmhCQPwF2DwBDi0BFNDaQMMB0OYDcPVROzqroCgKay+sZcKeCSToE7DR2vBG8Bu81OAlbLW2aoenutg533Pz29kA+IwahUvr1ipHJAqbJDcih/hUA+//FsmG4zEAdGngw6Sng3FzkF+IQmWJVyyFwhHzwGy0nKv3lGUIqnx1dWOzItdTrzNxz8Ts3pqgckF82vJTaperrXJk1uHmzz9zY/JkACoOHYpn72dUjkgUBUluRLYDF+N4e0EEVxMzsLPR8skTdXmuWRUZhhLqSo6G7ZMt07pNBsu56o9Ykhq/hurGZkVMZhOLTi5ievh00oxp2GhseC3kNV5p8Ir01twSN38+MZM+B6DCwIFUeP01lSMSRUWSG4HZrPDd1nN89fdJTGaFwPJOzOzXkPp+7mqHJsqy5OuwYxrs/wmM6ZZzAS3hkY8hoIW6sVmZE3EnGLtzLEduHgEgpGIIo5uPpqZnTZUjsx7xS5YQPf5TAMq/+ioVBg1UOSJRlCS5KeNupugZtiSSf07dAODJkEpM6NEAF3v50RAqSYyyJDUHfgaT3nKuchNo9xFUa1vmVxa+XZIhiVkRs1h8cjEmxYSLrQtDGw2lZ62eZXZBvtzEL1rM9bFjASg3YAAVhw2VHulSTt7ByrDd524yZFEE0Ul67G20jH2yHr2b+Mt/eqGOuHOwYzocnP/v8JN/M2gz3DIMJT+X2cyKmRVnVjAtfBpxGXEAdAzoyIimI/By8lI5OuuhKAqx335L7PQZAHg++yxeI4bL77gyQJKbMshkVpi1+QxTN5zCrED1is7MerYhQT5uaocmyqLrh2H7VDi63LJVAliGn9oMtyzAJ29EOUTeiGTSnknZQ1DV3KsxoukImldqrnJk1kUxm4meMJH4X38FoMJbb1Lh7bclsSkjJLkpY2KSMxi6+CA7ztwE4OmGlRnfvR5OdvKjIIqRolg2s9w54991agBqdIRWQyGwpXqxWanLyZeZFj6NdRfWAeBs68ybIW/Sr04/KRj+D8Vg4OqHH5G0ahUA3h9+SLn+z6sclShO8o5Whmw/Hcs7iw8Sm6LH0VbH+O716dmostphibLElAlHV8CuGXAt0nJOo4W63S1JjW+wmtFZpUR9It8d+o6FJxZiNBvRoKFbjW4MaTiECo4V1A7P6piSkogaOozUHTvAxoZKEyfi3vUJtcMSxUySmzLAaDIzbeNpZm4+g6JAbW9XZj0bRg0v2UNFFJP0eAifZ9nUMumK5ZyNI4T2g+YDZZ2aXKRlprHgxAJ+PPIjyYZkAFpUasGwRsNkzZq70J87z5W33sJw4QIaR0cqT58mC/SVUZLclHLXEzMYvCiCvectRYd9m/ozums9HGxlzx1RDG6chD2zIXIRZKZZzjlXhKavQeOXwbm8uvFZIb1Jz9KTS/n+8PfZxcI1PWvybqN3aeknw3V3k7J1K1Hvvoc5ORkbX1/8Z83EoW5dtcMSKpHkphTbcjKGYUsiiUs14GynY0KPBnQL9VM7LFHamYxweh3s+wHObvr3vFc9eOgNaPAM2DqoF5+VMpgMrDizgjmH5hCdFg1AZZfKvBX6Fl2qdkEnm4DmSlEU4n78kZivvgZFwbFhQypPn4ZNBRmyK8skuSmFMk1mvv77FLP/OQtAXV83Zj3bkKoVZDNBUYSSoyH8FzjwEyRFWc5ptFC7CzR7AwJbycynXKQb01l+ejk/HvmRmDTLtifeTt68HvI63Wt0l2LhezAlJnLtk1Ek/20pSvfo1ROfTz5BY2encmRCbZLclDJRCekMXhjBgYvxADz/UAAfPV5HhqFE0TCb4dxmCJ8LJ1b/u+eTU3kIew4avwSegaqGaK1SDCksObWEuUfnZg8/eTl58VL9l+hZqyf2OnuVI7RuaQcOEPXe+xivXQMbG7xHjMDz2X4y1VsAktyUKuuPRfPe0kgS0zNxtbfh857BdGngq3ZYojRKjLIsthc+DxIv/Xvev5mllqZuNxl6uovrqddZcHwBS08tJSUzBQA/Fz9ebvAy3ap3w04nvQ73ophMxM6eTeysb8BsxjagCn5ffY1jg/pqhyasiCQ3pYDBaObztSf43/bzAARXdmdm34ZUKe+kcmSiVMnMgJOr4eACSy1N1oJ7Du4Q3Bsa9gefBurGaMVOxJ3gl6O/8Nf5vzAqlh6uqv9v796jo6ruho9/557b5EJiroRLAgS5SASEBkVeBYvFKlQrVPtQ2sdWXaJvlzy1RcHS1lastb60SHVpW22tSAsKKlKsYnlAwKIhYIQQhCQGCBMSQjKTZDK3s98/ThISCJhEMpMZfp+19joz++yZ/GZnMvPLOfvsnTCUu8bcxaycWXL6qRs85eWcWPoo7sJCABJm30Laoz/FFCen3EVnktyEuaN1zdy/eg/7jjUA8N9XD2Xx10ZiNcu6MuIiUAqOfaQnNPtfh5aGM/sGXw3jF8CoW8ASHboY+zGf5mNL5RZeLXmVPSf3tNdflX4V3x39Xa7JukbWgOoG5fNx6sWXqH3mGZTXizEmhvSfLSPhlltCHZropyS5CWP/LD7Bj1/7BFeLn4RoC0/dPo4bRqWFOiwRCWoOQfE/oHgtnK44Ux8/EPLvgHF3yNw0F1DTXMNrn73G2tK1nHTrg4TNBjM3DL6BBaMXMDpldIgjDB8tBw5QtXQpngMlAMROmUL6L36OdaBMQCrOT5KbMNTiC/D4phL+uutzAMYPSuT3d1zJwCQ5DSW+hPqjsH89fPoanNh7pt4SC5ffrE+4N2QqGOVIQ1f8mp8dx3ew7rN1bD+2nYAKAJASncLtI27nmyO+KYta9kCgoYHaP/yBur+9AoEAxoQE0hYvJmHObBk0LL6QJDdhpry2iftX72F/lROAe6bl8KOv5mExyReO6AVnlb4cwv7X9dNPbQwmGDYDrpgLeV8Dq4xpOJ9KZyVvHnmT9YfXt1/KDXBl6pV8K+9b3DD4BiwmGU/TXcrvp37tWmp+93sC9fUA2G+8kfSlS2TuGtFtktyEkTf3VfHwa5/Q5A0wINbKb+eO47o8+U9Q9NCpI3BwI5S81TmhwaCPoxk9B0Z/A2Lli+R8GjwNvFPxDm8deYu9NXvb6xNtidycezO3Db+N3EQ5bddTjTt2cPKJX+P57DMArLm5pC1eTNzUa0IcmQg3ktyEgRZfgJ+/dYBXd+uX3E4aMoDf33El6Qlyqa3oBqX000yl/9Tnoqn+tMNOg3759phb9cu37emhirLfa/Y1s+34NjaXb2b7se14NS8ARoORgswCZufOZvqg6XIpdy80f/QRNSufoXn3bgBMCQmkPPAASfPmYrDIUS/Rc5Lc9HOHTzZy/+o9HHS4MBjg/uuG8cPpwzHLaShxId5mqNiuJzSHNoPrxJl9BhMMnaqPoxn5dUloLsDtd7Pz+E42V2zmf4/9L26/u33f8KThzM6dzayhs7gs5rIQRhm+mvcUUfvMSpp27gLAYLGQeMe3uOy++zAlJoY2OBHWJLnpx14rPMbSDZ/i9gVIibPy/+blM3W4fIiK8zh1BD57Fw6/CxUfgL/lzD5LLAybro+fGXEjxAwIXZz9XIOngW3HtrGlcgs7ju+gJXCmHwfGDeTGoTdy45AbZWXuXlKaRtP27Zx68SWaP/xQr7RYSLztVlLuuQdLhkw8Kr48SW76oWavn5++sZ91hccAmJKbzIp5+aTGy2ko0YG7Xj86c+R9OPJvOF3eeX9CNgz/qr6205BrZMbgC6hoqGDbsW1sO7aNwurC9kn2ADJjM5kxeAZfG/o1RiePlit1eknzeGh44w3q/vJXvEf0de8wm0n8xhxS7r0XS5Ys6isuHklu+plSh4uFq/dw+GQjRgP8cPoI7r9+GCajfKBe8nxuOLobyrfp5XghtF5uDIDRDIMK9IRm+A1w2UhZqPI83H43hdWF7Di+g+3Ht/O58/NO+4clDmP6oOlMHzSdkQNGSkLzJXjKy6lft46G19cTOK2veWeMjSVx7lwGzP8vLJmZIY5QRCJJbvoJpRR//+goy97cj8evkWq38btvXUlBbnKoQxOh4m2G4x/D5zv100xHd0PA07lN8nDIvQ5yr9ePztjsoYm1nwtoAQ7WHeTDEx+yq2oXe07uwaf52vebjWYmpk3k2oHXcu3AaxkcPziE0YY/zePB9a93qV+7tn2QMIA5M4MB879D4u3fxBQXF8IIRaST5KYfaPT4WbK+mDf2VgFw7YjLeHruOFLiZFXgS0rTKTi2Gyo/1BOaqiLo8AUMgD0Dhl6rT6aXMw0SB4Um1n4uoAU4dPoQux27+cjxEYXVhe2LVLbJiM2gILOAqVlTKcgsINYic/l8Gcrvp+nD/+DcuBHXe++hNbb2t9FI3NSpJM69nbhp0zCY5WtH9D15l4XY/qoG7l9dRHltEyajgf/56gjuvTYXo5yGimwBP9SUwLGP9blmjv4HTh0+t509EwZP0cvQafqSB3KK5BzNvmaKa4vZc3IPe0/uZV/NPpp8TZ3axFnimJg2kYLMAqZkTmFw/GA53fQlKZ+P5o8/xvXuezjfeYfAqVPt+8yZGSTeehuJt90qg4RF0ElyEyJKKf72n0oe23gAr18jIyGKlXdcycQhchVLxNE0qCvT55qpKtLHylTthQ6XFbe7bCQMvOpMQpM4WJKZs/g1P2UNZXxa+ymf1HxCcW0xh+sPo7WtUt4q1hLL+NTxTEqfxFXpVzFywEhMRlOIoo4cAaeTpg8+wLXlfRq3bUNzudr3mZKSsN84k4SbbiJ6/HgMslSHCBFJbkLA2eLj4deKebtYn3tk+shUnrp9HEmxMvlX2PN7obYUHJ+CoxhO7APHJ+BxntvWFg9Z4yFrIgz6CmRNkEu0z+INeClrKKPkVAkHTh2gpK6E0rrSTpdnt0mLSWN86niuTLuS8anjGZY4TJKZi0D5fLj37aNp506aduzEXVysJ+ytTAMGEHfd/yF+5kxiCwpk0j3RL0hyE2SfHKvn/tVFVNY1YzYaWPy1kdx1zVA5PB5ulALncag+ACcPwMkSqN4PNQfPHScDYI6CtDGQma8nMVkTIXmYLELZSlMajiYHh+sPc7j+MIdOH6K0rpSKhopOl2W3iTZHMzp5NGMvG8sVKVcwNmUsabFpIYg88mhuN+59n9C8pxB34R7cRUVozc2d2lhzcrBffx1x108netwVGEySRIr+RZKbIFFK8eKOCpb/swRfQJGVGM0zd17JlYOSQh2auJCAD05/DrWH9CMyNa3b2s+6PhoDYEuA9DF6MpNxBWTk66ebTPLn5g14qXRWUuGsoMJZQXlDOWX1ZRxpONJp9t+O7BY7eQPyGJU8isuTL2dU8igG2wfLUZmLQAUCeMvKcBd/Ssunxfq2pAT8nRNKU1ISsQUFxF49hdiCArl8W/R78mkbBA3NPh5at49/HagGYOboNJ68bRwJMXL4tl8I+KC+EurK9Ynw6sr1wb2nDsPpis5zyXRkNOuXYqdeDmmjIHWUntAkDrqkx8k4vU6qGqs47jrOUddRKl2VHHUd5ajrKCeaTpwzNqaN2WhmSPwQchNzGZE0ghFJI8hLyiM9Nl2ObF4EAacTz2ef0VJaiqf0EJ7SUloOHUKddVQGwJyWRsyECURPGE/MhAnYRoyQ8TMirEhy08f2VJ7mgdVFHK93YzUZWXLT5XynQK7SCCq/Rz+F1HAcGo5B/ed6MlNfqd9uOH7+BAbAEqNfpZSSB5flQcoIfTsgF8yX1jgpX8DHSfdJTjafxNHkwNHk4ETTifbt8cbjuLyuCz5HnCWOIfFDGJIwhCHxQ8hJzCE3IZfs+GwsRkn4vwzN68V37Di+o5V4P6/EU16G90gZnvIyAjW1XT7GEBND9KhRRI0dS/TYMURdMQ5LVqZ8RomwJslNH9E0xR8/KOPJzaX4NcXg5BieuWM8YwcmhDq0yKFp4D4NjQ5orAaXA5xV+iKRzhPgqtLvN1Z/8XOZo2HAUEgaqm+Tc/UxMcnD9LllIviDXlMaTo+TupY6TrWcoq6ljlp3Lafcp6hx11DrrqWmuYYadw11LXXdes4BUQPIistioH0g2fZsBtkH6dv4QSRHJcsXZy8opdBcLvwnT+JzVOM7UYX/xAl8VSfwVVXhPXYU/wmHPh7sPMzp6UTl5WHLy8OWN4KovDysQ4fKmBkRcfpFcrNq1Sp+85vf4HA4GDduHCtXrmTSpEnnbb927VoeffRRKioqGD58OL/+9a+ZNWtWECO+sLomLz9au4/3D54E4OtXZLD81rHYo+S/0gvSAtDSAM114K6D5lNnSlNtazkJTTXQWKNvuxq82xVzFCQMhPgs/bRR4mBIGnzmtj097BOYgBag0deIy+tqL06vkwZPAw3eBpweJw3eBupb6qn36OV0y2nqPfUELnTk6iwWo4XUmFTSY9NJj00nIzaD9Jh0MuIyyIrLIiM2gxhLTB++0sihfD4C9fXtxX/6NIG60/jrThGoPYX/1Cn8p2rx19TgP1mDcnc9LqkjQ0wM1uxsrIMGYc3JwZYzFGtODtahQ2VWYHHJCHly8/e//51Fixbx3HPPMXnyZFasWMHMmTMpLS0lNTX1nPY7d+7kjjvuYPny5Xz9619n9erVzJkzhz179jBmzJgQvILOdpfX8X9fLcLhbMFqNrLs5lHcOWlQZP+nqmnga9aLtwm8jWe2nkbwuFqLU9+2NHQo9frWfVrf9kb0AD05iUvVJ72Lz4D4zDO3E7IhJrlfJC9KKfyan5ZAC56ARy9+D+6AG4/fQ4u/BbffTbO/Gbff3ak0+Zrat82+Zpp8TTT6Gmn0NtLoa6TZf+7YiZ6wW+0kRyWTFJVESnTKOSUtJo3UmFQSbYmR/X6+AKUUyuNBtbSgtbSgNbtRLW79dlMzWnNraWrSS2MjWlMjgcZGNFcjmstFwOlsL12Nd/kixoQELKmXYc7MxJKRgSUjE0tmBpasgVgHZWNKliNjQhiUusAxzCCYPHkyV111Fc888wwAmqaRnZ3NAw88wOLFi89pP2/ePJqamti4cWN73Ve+8hXy8/N57rnnvvDnOZ1OEhISaGhoID4+/qK9DndDLX974y3e3FeF0iAtwcb3r80hO/Hs/2DVubeV0m93/FW01Z29X2kd7gc61ylNP/qhNL0Q0BMPzd9aH0Bpfn12XBVorW+779fnaNH8KM3Xert1G/ChNC/4PKB5wOcFzQv+FvC1oALeTq+s0xvK0PWrVq07VIeCoXVrjkHZ4lBR8WCzo9pKVDyaLR5l0+u1KDvKFo8ymNDQUEpDoZ9mUSg0pXVdOOu+phFQfgKavi+gAgS0QPvWr/xoSsOv+QloAXyaj4AK6PdVAF/Ah1/58Ws+fJq/9f6Z2z7Niyfg1W8r3zkDag0X6S+w7XlsJhuxllhiLTHYLXbsVjtxljjsVjt2SxzxtgTiLXbibXbsFjuJtkTirfGYjeYOv6yO771zt0qpM+067lPqzL6O71tN61CvdW6rnXkPq7bbmobSOm4VaIHOtwMaKuCHgIbSAuAP6NuAvo+AH+UPoPz6e1z5/Ch/a/H5UH4ftN7WvF7w+VBeH5rPi/J4Ud7W4vGgeTx6UuM5a22vi/KLM2BKSMCUmIgpKQlTUhLm5GRMyQMwJ6dgTh6AOTW1vRijZHV3cWnqyfd3SI/ceL1eCgsLefjhh9vrjEYjM2bMYNeuXV0+ZteuXSxatKhT3cyZM9mwYUOX7T0eD54OH0hO53ku3/2SNvz1d1yzah3XdKxcAxceWhnurK3l4jMQwMBp4HSfPH9ka24t3VPfWkQPWSwYo6MxRkVhiI7CGBOLMSZGL7Gx+j57HKa4OIxxdoxxsZjsdozx8ZjiEzAlxGO02zHFx8uYFyEuspAmN7W1tQQCAdLSOk++lZaWxsGDB7t8jMPh6LK9w+Hosv3y5cv5+c9/fnECvoDLsxLwhvwkX6QydHGrNw839OA5DBdsZzAYUB2fsUPjs39Kp/uGbkbRndMKXbQ5p6ar5zm7ruP9ttuGLqI0GDrvby8deqtTfYd9HeuMBgwGY/t9g8mo/ySjUS8GMBhNYDTqp1cMBjCZ9Nsmk97eYASTUW9nMumXKZtMGMxmPVFoa2c2YzBb9HqzqfW+GYPF2lpnxmC16Pc7bq02DFYLRqsVg9WKISoKo82GISoKgy0Ko80qM/EK0Y9F/Nfxww8/3OlIj9PpJDs7+6L/nPxbf4T6xv/IuW4hhBAixEKa3KSkpGAymaiu7nypbnV1Nenp6V0+Jj09vUftbTYbNpvt4gT8BSSxEUIIIUIvpFNOWq1WJkyYwJYtW9rrNE1jy5YtFBQUdPmYgoKCTu0B3n333fO2F0IIIcSlJeSnpRYtWsSCBQuYOHEikyZNYsWKFTQ1NfG9730PgO985ztkZWWxfPlyAH74wx8ybdo0fvvb33LTTTexZs0aPv74Y55//vlQvgwhhBBC9BMhT27mzZtHTU0NP/3pT3E4HOTn57N58+b2QcOVlZUYO6xpMmXKFFavXs3SpUt55JFHGD58OBs2bOgXc9wIIYQQIvRCPs9NsPXVPDdCCCGE6Ds9+f6WZV6FEEIIEVEkuRFCCCFERJHkRgghhBARRZIbIYQQQkQUSW6EEEIIEVEkuRFCCCFERJHkRgghhBARRZIbIYQQQkQUSW6EEEIIEVFCvvxCsLVNyOx0OkMciRBCCCG6q+17uzsLK1xyyY3L5QIgOzs7xJEIIYQQoqdcLhcJCQkXbHPJrS2laRpVVVXY7XYMBsNFe16n00l2djZHjx6VNav6mPR1cEg/B4f0c/BIXwdHX/WzUgqXy0VmZmanBbW7cskduTEajQwcOLDPnj8+Pl7+aIJE+jo4pJ+DQ/o5eKSvg6Mv+vmLjti0kQHFQgghhIgoktwIIYQQIqJIcnOR2Gw2li1bhs1mC3UoEU/6Ojikn4ND+jl4pK+Doz/08yU3oFgIIYQQkU2O3AghhBAiokhyI4QQQoiIIsmNEEIIISKKJDdCCCGEiCiS3PTAqlWrGDJkCFFRUUyePJndu3dfsP3atWsZOXIkUVFRjB07lk2bNgUp0vDXk75+4YUXmDp1KklJSSQlJTFjxowv/N0IXU/f023WrFmDwWBgzpw5fRtghOhpP9fX17Nw4UIyMjKw2WyMGDFCPj+6qad9vWLFCvLy8oiOjiY7O5sHH3yQlpaWIEUbnrZt28bNN99MZmYmBoOBDRs2fOFjtm7dyvjx47HZbAwbNoyXXnqpb4NUolvWrFmjrFar+vOf/6z279+vfvCDH6jExERVXV3dZfsdO3Yok8mknnzySXXgwAG1dOlSZbFYVHFxcZAjDz897es777xTrVq1ShUVFamSkhL13e9+VyUkJKhjx44FOfLw0tN+blNeXq6ysrLU1KlT1ezZs4MTbBjraT97PB41ceJENWvWLPXBBx+o8vJytXXrVrV3794gRx5+etrXr7zyirLZbOqVV15R5eXl6p133lEZGRnqwQcfDHLk4WXTpk1qyZIl6vXXX1eAWr9+/QXbl5WVqZiYGLVo0SJ14MABtXLlSmUymdTmzZv7LEZJbrpp0qRJauHChe33A4GAyszMVMuXL++y/dy5c9VNN93UqW7y5Mnqnnvu6dM4I0FP+/psfr9f2e129Ze//KWvQowIvelnv9+vpkyZov74xz+qBQsWSHLTDT3t52effVbl5OQor9cbrBAjRk/7euHCher666/vVLdo0SJ19dVX92mckaQ7yc2Pf/xjNXr06E518+bNUzNnzuyzuOS0VDd4vV4KCwuZMWNGe53RaGTGjBns2rWry8fs2rWrU3uAmTNnnre90PWmr8/W3NyMz+djwIABfRVm2OttP//iF78gNTWVu+66Kxhhhr3e9PObb75JQUEBCxcuJC0tjTFjxvD4448TCASCFXZY6k1fT5kyhcLCwvZTV2VlZWzatIlZs2YFJeZLRSi+Dy+5hTN7o7a2lkAgQFpaWqf6tLQ0Dh482OVjHA5Hl+0dDkefxRkJetPXZ/vJT35CZmbmOX9M4oze9PMHH3zAn/70J/bu3RuECCNDb/q5rKyM999/n29/+9ts2rSJw4cPc9999+Hz+Vi2bFkwwg5LvenrO++8k9raWq655hqUUvj9fu69914eeeSRYIR8yTjf96HT6cTtdhMdHX3Rf6YcuRER5YknnmDNmjWsX7+eqKioUIcTMVwuF/Pnz+eFF14gJSUl1OFENE3TSE1N5fnnn2fChAnMmzePJUuW8Nxzz4U6tIizdetWHn/8cf7whz+wZ88eXn/9dd5++20ee+yxUIcmviQ5ctMNKSkpmEwmqqurO9VXV1eTnp7e5WPS09N71F7oetPXbZ566imeeOIJ3nvvPa644oq+DDPs9bSfjxw5QkVFBTfffHN7naZpAJjNZkpLS8nNze3boMNQb97PGRkZWCwWTCZTe93ll1+Ow+HA6/VitVr7NOZw1Zu+fvTRR5k/fz7f//73ARg7dixNTU3cfffdLFmyBKNR/v+/GM73fRgfH98nR21Ajtx0i9VqZcKECWzZsqW9TtM0tmzZQkFBQZePKSgo6NQe4N133z1ve6HrTV8DPPnkkzz22GNs3ryZiRMnBiPUsNbTfh45ciTFxcXs3bu3vdxyyy1cd9117N27l+zs7GCGHzZ6836++uqrOXz4cHvyCHDo0CEyMjIksbmA3vR1c3PzOQlMW1KpZNnFiyYk34d9NlQ5wqxZs0bZbDb10ksvqQMHDqi7775bJSYmKofDoZRSav78+Wrx4sXt7Xfs2KHMZrN66qmnVElJiVq2bJlcCt5NPe3rJ554QlmtVrVu3Tp14sSJ9uJyuUL1EsJCT/v5bHK1VPf0tJ8rKyuV3W5X999/vyotLVUbN25Uqamp6pe//GWoXkLY6GlfL1u2TNntdvXqq6+qsrIy9a9//Uvl5uaquXPnhuolhAWXy6WKiopUUVGRAtTTTz+tioqK1Oeff66UUmrx4sVq/vz57e3bLgV/6KGHVElJiVq1apVcCt6frFy5Ug0aNEhZrVY1adIk9eGHH7bvmzZtmlqwYEGn9v/4xz/UiBEjlNVqVaNHj1Zvv/12kCMOXz3p68GDByvgnLJs2bLgBx5mevqe7kiSm+7raT/v3LlTTZ48WdlsNpWTk6N+9atfKb/fH+Sow1NP+trn86mf/exnKjc3V0VFRans7Gx13333qdOnTwc/8DDy73//u8vP3La+XbBggZo2bdo5j8nPz1dWq1Xl5OSoF198sU9jNCglx96EEEIIETlkzI0QQgghIookN0IIIYSIKJLcCCGEECKiSHIjhBBCiIgiyY0QQgghIookN0IIIYSIKJLcCCGEECKiSHIjhBBCiIgiyY0QQgghIookN0IIIYSIKJLcCCHCXk1NDenp6Tz++OPtdTt37sRqtZ6zGrEQIvLJ2lJCiIiwadMm5syZw86dO8nLyyM/P5/Zs2fz9NNPhzo0IUSQSXIjhIgYCxcu5L333mPixIkUFxfz0UcfYbPZQh2WECLIJLkRQkQMt9vNmDFjOHr0KIWFhYwdOzbUIQkhQkDG3AghIsaRI0eoqqpC0zQqKipCHY4QIkTkyI0QIiJ4vV4mTZpEfn4+eXl5rFixguLiYlJTU0MdmhAiyCS5EUJEhIceeoh169axb98+4uLimDZtGgkJCWzcuDHUoQkhgkxOSwkhwt7WrVtZsWIFL7/8MvHx8RiNRl5++WW2b9/Os88+G+rwhBBBJkduhBBCCBFR5MiNEEIIISKKJDdCCCGEiCiS3AghhBAiokhyI4QQQoiIIsmNEEIIISKKJDdCCCGEiCiS3AghhBAiokhyI4QQQoiIIsmNEEIIISKKJDdCCCGEiCiS3AghhBAiokhyI4QQQoiI8v8Bd8J2xn/1yvMAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "# 生成x值\n",
    "x = np.linspace(0.001, 0.999, 100)\n",
    "\n",
    "# 选择几个n值来绘制\n",
    "n_values = [1, 3, 5, 10]\n",
    "for n in n_values:\n",
    "    y = x ** n\n",
    "    plt.plot(x, y, label=f'n = {n}')\n",
    "\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.title('Convergence of the series in (0, 1)')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "定理(魏尔斯特拉斯(Weierstrass)判别法)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n = 10, partial sum = 1.5497677311665408\n",
      "n = 100, partial sum = 1.6349839001848923\n",
      "n = 1000, partial sum = 1.6439345666815615\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "\n",
    "# 计算正项级数的部分和\n",
    "def partial_sum(n):\n",
    "    result = 0\n",
    "    for k in range(1, n + 1):\n",
    "        result += 1 / (k ** 2)\n",
    "    return result\n",
    "\n",
    "\n",
    "# 检查正项级数的收敛性（通过比较部分和与一个较大的n值）\n",
    "n_values = [10, 100, 1000]\n",
    "for n in n_values:\n",
    "    s_n = partial_sum(n)\n",
    "    print(f\"n = {n}, partial sum = {s_n}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "例4证明级数\n",
    "sinx+sin2x+...+sin(nx)+...\n",
    "在(-∞,+∞)内一致收敛"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "# 计算级数的部分和\n",
    "def partial_sum(x, N):\n",
    "    result = 0\n",
    "    for n in range(1, N + 1):\n",
    "        result += np.sin(n ** 2 * x) / (n ** 2)\n",
    "    return result\n",
    "\n",
    "\n",
    "# 生成x轴数据\n",
    "x = np.linspace(-5, 5, 1000)\n",
    "\n",
    "# 选择不同的N值来绘制部分和函数\n",
    "N_values = [10, 50, 100]\n",
    "for N in N_values:\n",
    "    y = [partial_sum(i, N) for i in x]\n",
    "    plt.plot(x, y, label=f'N = {N}')\n",
    "\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.title('Partial Sums of the Series')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
